find the probability that the birthday of 5 person chosen at random will fall in 12 different calendar months
Answers
Given : birthday of 5 person chosen at random will fall in 12 different calendar months
To Find : Probability
Solution:
Months = 12
Birth day = 5
Each birthday ca fall in any of 12 months
12 * 12 * 12 * 12 * 12
= 12⁵ ways
= 2,48,832
number of ways to selects 5 different calendar months out of 12
= ¹²C₅ = 792 ways
in 5 months 5 person can be in 5 ! Ways = 120
Hence Total ways = 120 * 792 = 95040
Probability that birthday will fall in 12 different calendar months
= 95040 / 2,48,832
= 0.3819
Probability that birthday will fall in 12 different calendar months = 0.3819
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