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raketka [301]
3 years ago
12

Bin $A$ has one white ball and four black balls. Bin $B$ has three balls labeled $\$1$ and one ball labeled $\$7$. Bin $W$ has f

ive balls labeled $\$8$ and one ball labeled $\$500$. A game is played as follows: a ball is randomly selected from bin $A$. If it is black, then a ball is randomly selected from bin $B$; otherwise, if the original ball is white, then a ball is randomly selected from bin $W$. You win the amount printed on the second ball selected. What is your expected win
Mathematics
2 answers:
timama [110]3 years ago
6 0

Answer:

$20

Step-by-step explanation:

Since Bin A has one white ball and four black balls, the money ball has a 1/5 chance of coming from Bin W and a 4/5 chance of coming from Bin B. The total expected value therefore is $E = 1/5E_W+4/5E_B, where E_W and E_B are the expected values of a ball drawn from bins W and B, respectively. Since Bin W has five 8 dollar balls and one 500 dollar ball, its expected value is E_W = 5/6*8 + 1/6*500 = 90. Since Bin B has three 1 dollar balls and one 7 dollar ball, its expected value is E_B = 3/4*1 + 1/4*7 = $2.5. Therefore  E = 1/5E_W + 4/5E_B = 1/5*90 + 4/5*2.5 = 20

nydimaria [60]3 years ago
3 0

Answer:

$20

Step-by-step explanation:

Bin A:                             Bin B:                  Bin W:

white ball: 20%              $1: 75%                $8: 5/6

black ball: 80%              $7: 25%               $500: 1/6

first we can calculate the expected return of bins B and W:

expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50

expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90

expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20

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Nataly [62]

Answer:

So, the probability is P=0.018.

Step-by-step explanation:

We know that Pedro drives the same route to work on Monday through Friday.  

We know that  there is a 55% chance that the light will be red.  

We get that p=55%=0.55.

We conclude that the probability of not being a red light:

q=1-p=1-0.55=0.45.

We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

P=q^5\\\\P=0.45^5\\\\P=0.018

So, the probability is P=0.018.

8 0
3 years ago
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Sveta_85 [38]

Answer:

Wednesday is 45 to 18.

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Step-by-step explanation:

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Thursday: The original ratio was 5 to 2 And the info tells us that the new ratio is 55 to ?. To find the first part we have to find how we got from 5 to 55. 5 * 11 = 55. So to find out the 2nd part you do 2 * 11 = 55. We multiply 2 because That's the original 2nd part. We multiply 11 because that's how we got to 55 in the 1st part. So the answer is 22 for Thursday.

4 0
2 years ago
a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of
oee [108]

Step-by-step explanation:

if each the bonus is shared equally each will get 420

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7 0
3 years ago
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alexgriva [62]

Answer:

There are 70 two digit numbers that are greater than or equal to 30

Step-by-step explanation:

hope it helps you

6 0
2 years ago
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Brilliant_brown [7]

Answer:  30 miles

Work Shown:

2 in : 6 mi

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10 in : 30 mi

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