a coin is flipped 6 times find the probability of getting he

a coin is flipped 6 times. find the probability of getting heads exactly 2 times?

Solution

Probability(exactly two heads) = (6 choose 2) * (1/2)²(1/2)⁴

The (6choose2) is the number of ways you can choose two coins among the 6 which will bea heads, each independently with probability 1/2. The rest four will automatically be tails with probability 1/2 each.

The final answer then becomes 0.234375