Question

find the probability that a two digit selected at random will be a multiple of 3 and not a multiple of 5
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Answer 1

Answer:

Total number of two digit number =90

⇒ Total number of two digit number which is divisible by 3=30

Out of this there are 6 numbers divisible by 15 (15,30,45,60,75,90) which are also divisible by 5.

⇒ Total two digit number which are divisible by 3 but not 5=30−6=24

⇒ Required probability =

90

24

=

15

4