Question

A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. If the probability that the number formed is divisible by 4, is P, then 5P is ______.

Options

• 0.00

• 1.00

• 2.00

• 3.00

Answer 1

A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. If the probability that the number formed is divisible by 4, is P, then 5P is 1.00.

Explanation:

n(S) = 120

Let E be the event that the number formed is divisible by 4.

n(E) = 3! × 4 = 24

P = `24/120 = 1/5`

P = `1/5`

5P = `5 xx 1/5` = 1  ...(multiply both side by 5)