In the following experiments write the sample space S, number of sample points n(S), events P, Q using set and n(P), n(Q). A coin is tossed and a die is thrown simultaneously: P is the event of getting head and an odd number. Q is the event of getting either H or T and an even number.

Solution:

Since a coins is tossed and a die is thrown simultaneously,

∴ Sample Space = {H1, H2, H3, H4. H5, H6, T1, T2, T3, T4, T5, T6}

∴ n(S) = 12

Let P = Event of getting head and an odd number.

P = {H1, H3, H5}

∴ n(P) = 3

Let Q = Event of getting either H or T and an even number

Q = {H2, H4, H6, T2, T4, T6}

∴ n(Q) = 6