In the following experiment write the sample space A, number of sample point n(S), event A, B, C and n(A), n(B), n(C). A die is thrown. A is the event that prime number comes up, B is the event that the number is divisible by three comes up, C is the event that the perfect square comes up.

Solution:

Since a die is thrown,
Sample Space = { 1, 2, 3, 4, 5, 6}
n(S) = 6

Let  A = Event of getting a prime number.

A = {2, 3, 5}

n(A) = 3

Let B =  Event of getting a number divisible by 3

B = {3, 6}

∴ n(B) = 2

Let C = Event of getting a perfect square comes up

∴ C = {1, 4}

∴ n(C) = 2

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