Answer:
(a) 1 in 365 or 0.2740%
(b) 0.8227%
Step-by-step explanation:
(a) For any given birthday date of the first person, there is a 1 in 365 chance that the second person shares the same birthday, therefore the probability that the first two people share a birthday is:
(b) There are four possibilities that at least two people share a birthday, first and second, first and third, second and third, all three share a birthday. Therefore, the probability that at least two people share a birthday is:
Let's assume
Raj's age is x years
Zia's age is y years
we are given
Raj is three years older than zia
so, we get
now, we can solve for y
the sum of the squares of their ages is 369
so, we get
now, we can plug back y
now, we can solve for x
Since, age can not be negative
so, we will only consider positive
now, we can find y-value
So,
Raj's age is 15 years
Zia's age is 12 years...........Answer