It is given that in a group of 5 Executives in an organisation, the probability of 3 of them not hav

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23 Mar 2021 PROBABILITY

It is given that in a group of 5 Executives in an organisation, the probability of 3 of them not having the same birthday is 0.962. What is the probability that the 3 executives have the same birthday?

OPtion

1) 0.038
2) 0.008
3) 0.030
4) 0.058
5) 0.010
6) 0.062
7) 0.050
8) 0.962
9) 0.018
10) None of the above

Solution

Let the event wherein 3 executives having the same birthday be E
Given, P(E) = 0.962
We know,
P(E)+P(not E) = 1
Or, P(not E) = 1–0.962 = 0.038
∴ The probability that the 3 executives have the same birthday is 0.038.

Correct Option: 1 Best Solution (3)