Answer:
Loss of $1.67
Step-by-step explanation:
The percentage of throwing 256 throws out of 312 is 256/312
= 0.8205 = 82.05%
Probability of making the next 2 shots is (0.8205)^2 = 0.6732
Pr(of making both shots) = 0.6732
Pr(of missing both) = 1 - 0.6732
= 0.3268
Value when you win = $15
Value when you lose = -$36
Expected value = Pr(makes both) * value when you win + Pr(misses both) * value when you lose
= (0.6732 * 15 ) + (0.3268*-36)
= 10.098 + (-11.7684)
= 10.098 - 11.7684
= -1.67
The player is expected to lose $1.67. It is not worth it.
