Question

Lottery token are numbered from 1 to 25 .what is the probability that a token drawn is multiple 5 or 7?

Answer 1

The sample space S =

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,

17,18,19,20,21,22,23,24,25}

Assume the probability of getting a token which is multiple of 5 = P(A) and the probability of getting a token which is multiple of 7 = P(B)

Multiples of 5 among the given tokens = 5, 10, 15, 20, 25

Multiples of 7 among the given tokens = 7, 14, 21

Probability = number of favorable outcomes /total number of possible outcomes

P(A) = 5/25, P(B) = 3/25

P(A) +P(B) = 5/25+3/25= 5+3/25= 8/25

Therefore, the probability is 8/25