Question

A coin is weighted so that there is a 57% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability that the first three flips resulted in "heads", and the last flip resulted in "tails". Round your answer to four decimal places.

Answer 1

Probability the coin will be heads = 0.57

Probability the coin will be tail = 0.43

First flipped = 0.57

Second flipped = 0.57 x 0,57 = 0.325

Third flipped = 0.325 x 0.57 = 0.185

Fourth flipped = 0.185 x (1 - 0.57) = 0.185 x (0.43) = 0.07966

Result = 0.07966 or 7.99% or 8%

done