A coin is tossed. Find the probability of the events. (i) Getting a head (ii) Getting a tail.

Solution:

Since a coin is tossed,

Sample Space = {H, T}

∴ n(S) = 2

(i) Let A = Event of getting a head

∴ A = {H}

∴ n(A) = 1

∴ P(A) = n(A)/n(S)

∴ P(A) = ½

(ii) Let B = Event of getting a tail

∴ B = {T}

∴ n(B) = 1

∴ P(B) = n(B)/n(S)

∴ P(B) = ½