Question

Find the probability that a number selected at random from the numbers 30, 31, 32, 33, ....., 60 is (i) a prime number (ii) a multiple of 6.

Answer 1

(i) Favourable outcomes (a prime number) = 7

{31, 37, 41, 43, 47, 53, 59}

Total outcomes = 31

{30, 31, 32, ....., 60}

Required probability = `"Favourable outcomes"/"Total outcomes"`

= `7/31`

(ii) Favourable outcomes (a multiple of 6) = 6

{30, 36, 42, 48, 54, 60}

Total outcomes = 31

{30, 31, 32, ....., 60}

Required probability = `6/31`