Question

If two letters of the word MOTHER are selected at random. Probability that both are consonants is ______.

Options

• `2/15`

• `1/15`

• `3/5`

• `2/5`

Answer 1

If two letters of the word MOTHER are selected at random. Probability that both are consonants is `2/5`.

Explanation:

Here, n(S) = ⁶C₂ = 15

If both are consonants, then they are selected in ⁴C₂ ways = 6.

∴ Required probability = `6/15 = 2/5`