Thank you 4. Assume that it is equally likely for a person on Planet any month o

Question

Thank you 4. Assume that it is equally likely for a person on Planet any month of the year Earth to be born in 3 people are selected at random from Planet Earth ) What is the probabilit that noneot the probability that noneof the 3 people selected were bornin May? b) What is the probability that all 3 of the people selected were born in the same month? c) What is the probability that all 3 of the people selected were born in different months? d) What is the probability that at least two of the 3 people selected were born in the same month?

Explanation / Answer

Probability that a person is born in any month of the year = 1/12

3 people are selected at random.

a) Probability that none of them is born in May= (11/12)^3=0.7702

b) Probability that all 3 are born in same month= 1/12

c) Probability that all 3 are born in different months = (1/12)*(1/11)*(1/10)

d) Atleast 2 are in same month= 2 are in same month+all 3 are in same month= [C(3,2)*(1/12)*(1/11)]+(1/12)

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