Question

If a coin and a dice are thrown simultaneously, then what is the probability that tail appear on coin and event number appear on dice ?

Answer 1

In throwing coin and dice obtained sample space

S = {H, T} × {1, 2, 3, 4, 5, 6}

= {H1, H2, H3, H4, H5, H6, T1, T2, 73, T4, T5, T6}

n(S) = 12

Let A be the sample space of getting tail on coin and event number on dice, then

A = {H2, H4, H6}

n(A) = 3

Thus, required probability

P(A) = n(A)/n(S)

P(A) = 3/12 = 1/4

Thus, required probability is 1/4.