Question

Saima and Arya were born in the month of June in the year 2012. Find the probability that:

1. They have different dates of birth.
2. They have the same date of birth.

Answer 1

Total possible outcomes for both birthdays = 30 × 30

= 900

Outcomes that are favorable for having the same birthday on June = 30

i. P(different birthday) = `(900 - 30)/900`

= `870/900`

= `87/90`

= `29/30`

ii. P(same birthday) = `30/900`

= `1/30`