5. In the following experiment write the sample space S, number of sample points n(S), events P, Q, R using set and n(P) , n(Q) and n(R). A die is thrown: P is the event of getting an odd number. Q is the event of getting an even number. R is the event of getting a prime number.

Solution:

Since a die is thrown,

Sample Space = { 1, 2, 3, 4, 5, 6}

∴ n(S) = 6

Let P = Event of getting an odd number.

∴ P = {1, 3, 5}

∴ n(P) = 3

Let Q = Event of getting an even number.

∴ Q = {2, 4, 6}

∴ n(Q) = 3

Let R = Event of getting a prime number.

∴ R = {2, 3, 5}

∴ n(R) = 3