Question

A coin is weighted so that there is a 62% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of getting two "heads" and two "tails". Round your answer to four decimal places.

Answer 1

Weighted coin,

Probability of Head, P(H) = 0.62
Probability of Tail, P(T) = 0.38

Coin is flipped four times

Probability of getting 2 heads and 2 tails = (selecting 2 flips from 4 flips) * (probability of head) ^ 2 *(probability of tails) ^ 2

Probability = (⁴C₂) * 0.62^2* 0.38^2 = 0.333