A box contains 15 mangoes out of which 8 are spoilt.

A box contains 15 mangoes out of which 8 are spoilt. If eight mangoes are chosen at random, find the probability that A number is selected at random from first twenty natural numbers. What is the chance that it is a multiple of either 4 or 15?

Quiz

Answer/Solution

3/10

Steps/Work

The probability that the number is a multiple of 4 is 5/20. (Since 4*5 = 20).
Similarly the probability that the number is a multiple of 15 is 1/20. {Since 15*1 =
15).
Neither 4 nor 15 has common multiple from 1 to 20. Hence these events are mutually exclusive events. Therefore chance that the selected number is a multiple of 4 or 15 is (5+1)/20 = 3/10.
ANSWER:E