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.step 1 of 2 : find the expected value of the proposition. round your answer to two decimal places. losses must be expressed as negative values.

-$ 0.79

Step-by-step explanation:

Since, the player has made 282 out of 393 free throws,

So, the probability of a free throw = ,

Thus, the probability of 2 free throws =

And, the probability of not getting 2 free throws =

Given, the price of winning ( getting 2 free throws ) is $6 while the price of losing ( not getting 2 free throws ) is - $ 8 ( ∵ there is a loss of $ 8 ),

Hence, the expected value of the proposition = probability of winning × winning value + probability of losing × losing value

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step-by-step explanation: