Question

A number is chosen randomly from numbers 1 to 60. The probability that the chosen number is a multiple of 2 or 5 is ______.

पर्याय

• `2/5`

• `3/5`

• `7/10`

• `9/10`

Answer 1

A number is chosen randomly from numbers 1 to 60. The probability that the chosen number is a multiple of 2 or 5 is `underlinebb(3/5)`.

Explanation:

Let us suppose A: Number is multiple of 2.

Let us suppose B: Number is multiple of 5.

Then n(A) = 30

n(B) = 12

n(A ∩ B) = 6

⇒ P(A or B) = P(A) + P(B) – P(A and B)

⇒ P(A or B) = `30/60 + 12/60 - 6/60 = 36/60`

⇒ P(A or B) = `3/5`