Question

In a simultaneous toss of five coins, the probability of getting exactly four tails is  ______.

Options

• `1/32`

• `5/16`

• `5/32`

• `1/16`

Answer 1

In a simultaneous toss of five coins, the probability of getting exactly four tails is `5/32`.

Explanation:

Probability of getting a tail is p = `1/2`

∴ q = `1 - 1/2 = 1/2`

Also, n = 5

∴ Required probability = P(X = 4)

= `""^5"C"_4 (1/2)^4 (1/2)`

= `5/32`