Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 35% chance, if he loses the first game, he will win the second game with 65% chance. The winning prices for the first and second game are $1 and $2 respectively. a. If he wins the second game, what is the probability that he lost the first game

Answers

Answer 1

Answer:

0.5532

Step-by-step explanation:

We have these events

WF = Wins the first game

LF = lose the first game

WS = Wins the second game

LS = lose the second game

Then

Prob(WF) = 0.6

Prob(LF) = 0.4

Prob(WS|WF) = 0.35

Prob(WS|LF) = 0.65

1. If he wins the second game, the probability that he lost the first =

P(Lf|WS)

= 0.4x0.65/0.4x0.65+0.6x0.35

= 0.21/0.47

= 0.5532

0.5532 is the probability that he lost the first game given that he wins the second


Related Questions

7/12 x 1/8 Find the product of in simplified form​

Answers

Answer:

7/96

Step-by-step explanation:

to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one

What is the measure of PLEASE HELP?!

Answers

I’m pretty sure It’s 42 or 43

The sum of three consecutive even numbers is 228. What is the 3rd number?

Answers

Answer:

78

Step-by-step explanation:

x+(x+2)+(x+4)=228

x+x+2+x+4=228

3x+6=228

Subtract 6 from both sides

3x=228-6

3x=222

Divide both sides by 3

x=74.The first number is 74

The second number (x+2)=74+2=76

The third number (x+4)=74+4=78

There were 6 boys and 9 girls on the camping trip. What was the ratio of boys to girls? 3:2 6:3 6:9 2:3

Answers

Answer:

The ratio of boys to girls is 2:3.

Step-by-step explanation:

6:9 = 2:3

the ratio of boys to girls are 2:3

Please Help! I will give brainliest!

Answers

Answer:

i think ac=10.4

Step-by-step explanation:

What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?

Answers

Y=-3x+2 here is the answer

find the magnitude and direction in degrees of the vector v=6i+2 seq31​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]

[tex]=\sqrt{36+12}[/tex]

[tex]=\sqrt{48}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

[tex]=\sqrt{3}\sqrt{2^4}[/tex]

[tex]=4\sqrt{3}[/tex]

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]

[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]

A drilling company has estimated a 40% chance of striking oil for their new well. A detailed test has been scheduled for more information. Historically, 60% of successful wells have had detailed tests, and 20% of unsuccessful wells have had detailed tests. Given that this well has been scheduled for a detailed test, what is the probability that the well be successful

Answers

Answer:

Step-by-step explanation:

this is the answer

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.

Answers

Answer:

x = 3 units

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

plugin values into the formula:

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health. The veterinarian asks the owners of dogs with known joint issues if they would be willing to have their dog participate in his study, and 32 owners agree to the study. Sixteen dogs are randomly assigned to the glucosamine group and the remaining 16 are assigned to the glucosamine with chondroitin group. After 6 months, the dogs’ joint health is measured for each treatment and compared. The results of the study were inconclusive and the veterinarian decides to do the experiment again. He gets 24 volunteers and decides that he needs to use a randomized block design.

Which variable would not be an appropriate variable for blocking?

age
size
color of coat
breed

Answers

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

t = i/pr is what formula?

Answers

Step-by-step explanation:

it is the formula to calculate the time

in the formula

t = I / pr

t stands for time.

I stands for interest.

p stands for principal.

r stands for rate.

Hope it helps. :)

help me plz I can't get the answer right

Answers

Answer:

(If they give you a decimal place to round to use that) :)

9: 0.1026272578 mL/g

10: 1.8666666667 mL/g

Step-by-step explanation:

Density is M / V like a kinda heart you know? So mass divided by volume, the sink or float part you give context  for although that is the density

Which figure shows a line of symmetry?

Answers

Answer:

C)

Step-by-step explanation:

The other ones do have symmetry but it's not in the same direction

(not entirely sure but the way they are shown this makes the most sense)

Hope this helped! :)

Joe solved the equation 3 + x/2 = 10 and justified each step as shown. Identify Joe's error and fix his mistake. ( Only answer if you truly know how. No Plagiarism and please don't reposted another students answer on brianly. Will Mark Brainliest).​

Answers

Happy Holidays! :)

He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.

The proper steps in order would be as shown:

3 + x / 2 = 10       Given equation

x / 2 = 7               Subtraction Property of Equality (-3 from both sides)

x = 14                    Multiplication Property of Equality (x2 on both sides)

What is the equivalent expression for 6x + 18

Answers

3(2x + 6) hope this helps

You can run 80 yards in 20 seconds, how many yards
can you run in 48 seconds

Answers

192 yards here is the answer

Question 1 What is the answer to the following integer operation: - 8 + 3
Remember what you do when adding two integers with DIFFERENT SIGNS!

Question 2 What is the answer to the following integer operation: 7 - (-14)
Please remember the rule: Keep, Change, Change!

Question 3 What is the answer to the following integer operation: 8 x (-2)
Remember: when you multiply different signs, what will the sign be?

Question 4 What is the answer to the following integer operation: (-36) ÷ (9)
Remember when you divide different signs, what will the sign be?

Question 5 Solve the following expression using Order of Operations/PEMDAS:
24 ÷ 8 x (7+3) ÷ 5

Question 6 Solve the following using Distributive Property:
8(2x +9) - 2

Question 7 Simplify the following expression by combining like terms:
36y - 8y + 15 - 13
Remember, in order to combine terms they need to have the same variable. You cannot combine constant terms and variable terms!

Question 8 Solve the following exponential expression:
3/4

Question 9 Solve the following exponential expression:
18/0

Question 10 Solve the following exponential expression:
18/1

Question 11 Solve the following exponential expression:
1
_
9-3


IF YOU CAN SEND ME THE CORRECT ANSWERS FOR THIS YOU GET 100 POINTS AND YOU GET MARKED THE BRAINLYEST OK THANKS YOU SO MUCH

Answers

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

I need help please I have to finish this

Answers

Answer: x=4

Step-by-step explanation:

We know that line segment AC= AB + BC

we also know that AB= 3x+8 and BC= 2x-5

by substituting these, we get AC= (3x+8)+(2x-5)

AC is given as being 23, so we know that

23= (3x+8)+(2x-5)

by combining like terms, we get that

5x+3=23

simplify this to get that x=4

Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess

Answers

Answer:

4/5

Step-by-step explanation:

Given that:

Number of options = a, b, c, d, e

Number of correct answer choice = 1

Therefore, number of wrong answers = 4

Recall :

Probability = (number required outcome / number of total possible outcomes)

P(wrong answer) :

Number of Required outcome = number of wrong answer choices = 4

Total answers = 5

Hence,

P(wrong answer) = 4 / 5 = 0.8

Hey!! Can you also help me with this thank you−3(2y − 9) − (5y + 4)

Answers

Answer:

Let's simplify step-by-step.

3(2y−9)−(5y+4)

Distribute the Negative Sign:

=3(2y−9)+−1(5y+4)

=3(2y−9)+−1(5y)+(−1)(4)

=3(2y−9)+−5y+−4

Distribute:

=(3)(2y)+(3)(−9)+−5y+−4

=6y+−27+−5y+−4

Combine Like Terms:

=6y+−27+−5y+−4

=(6y+−5y)+(−27+−4)

=y+−31

Answer:

=y−31

Step-by-step explanation:

How do you do the equation -8(0.5y - 3

Answers

Answer:

-4y+24

Step-by-step explanation:

You multiply -8 by each figure in the parenthesis.

So, -8(0.5y) and -8(-3)  which is -4y+24 .

-11d+6=13d+22
(Plz help me)

Answers

Answer:

d=1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-11d+6=13d+22

-11d - 13d = 22 - 6

-24d = 16

What percent of 88 is 154?

Will mark brainliest for the first correct answer!

Answers

Answer:

the answer is 175%

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

I got the answer wrong, this apparently is the correct answer. My deepest apologies.

57.14% is the answer that I put and it was incorrect.

The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."​

Answers

Answer:

3, 2, 0

Step-by-step explanation:

There are three modes, all numbers have at least two appearances.

Please give thanks by clicking the heart! I solved your other problem too :)

A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a negative result with probability 0.9 when tested on a person who does not have the disease. Assume that 3% of a society has the disease, and compute the following probabilities in the order they are asked. Note that for each individual there are two disease status(disease, no disease) and two types of test results(positive, negative). (a) (0.5 point) Compute the probability that an individual has the disease and has a positive test result. Explain your computation. (b) (0.5 point) Compute the probability

Answers

Answer:

The probability that an individual has the disease and has a positive test result is:

9.8%.

Step-by-step explanation:

Probability of a true positive result for a test of syphilis = 0.98 or 98%

Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)

Probability of a true negative result for a test of syphilis = 0.9 or 90%

Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)

Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%

Pls help me! ;-; 20 Points WIll mark Brainliest!!!

Answers

I think the answer is B

n a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?

Answers

Answer:

f(t) = 55 = 4t

Step-by-step explanation:

Can someone please answer please ​

Answers

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15

- Jennifer opened a new savings account on Thursday with a deposit of $60. - She made a withdrawal of $40 on Friday. - She then made a deposit of $80 on Saturday. Which expression represents her new account balance?

Answers

Answer:

(60-40)+80

Step-by-step explanation:

if f(x)=2x and g(x)=5x, what is f(g(x)) when x=3

Answers

Answer:

30

Step-by-step explanation:

First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.

Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.

Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.

The value of the function f ( g ( x ) ) when x = 3 is 30

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be f (x ) = 2x

Let the second function g ( x ) = 5x

Now ,

The composite function is of the form f ( g ( x ) ) ,

So assign the value of x in f ( x ) as x = g ( x )

And , g ( x ) = 5x

So , the composite function will be

f ( 5x ) = 2 ( 5x )

          = 10x

Now , when x = 3

f ( g ( 3 ) ) = 10 x 3

               = 30

Therefore , the value of f ( g ( 3 ) ) is 30

Hence , the value of the function f ( g ( x ) ) when x = 3 is 30

To learn more about composite functions click :
https://brainly.com/question/17673639

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