Suppose a basketball player has made 305 out of 372 free throws. If the player makes...

Suppose a basketball player has made 305 out of 372 free throws. If the player makes the next 2 free throws, I will pay you $5. Otherwise you pay me $10. Step 2 of 2 : If you played this game 626 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as negative.

Expert Solution

Probability of win = p = (305/372)*(305/372)

= 0.6722

Probability of losing = q= 1-p = 1-0.6722

= 0.3278

Expected value = (p)*winning amount + q*losing amount

= 0.6722*5 + 0.3278*(-10)

= 0.083

n=626

So,expected winning for 626 games is 626*0.083

= 51.958

orchestra answered 2 years ago

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