Suppose a basketball player has made 282282 out of 393393 free throws. If the player makes the next 22 free throws, I will pay you $6$⁢6. Otherwise, you pay me $8$⁢8. Step 2 of 2 :   If you played this game 704 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Suppose a basketball player has made 282282 out of 393393 free throws. If the player makes the next 22 free throws, I will pay you $6$⁢6. Otherwise, you pay me $8$⁢8.

Step 2 of 2 :  

If you played this game 704 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Expert Solution
Step 1

Given Information:

Suppose a basketball player has made 282 out of 393 free throws.

If the player makes the next 2 free throws, I will pay you $⁢6. Otherwise, you pay me $⁢8.

If you played this game 704 times how much would you expect to win or lose?

First, we need to find the expected value:

Pfree throw=282393

If the player makes the next 2 free throws:

 P2 free throws=282393×282393=94131×94131=883617161

This implies:

Pnot getting 2 free throws=1-P2 free throws=1-883617161=17161-883617161=832517161

 

 

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