Find the probability of the following events a The event tha

Find the probability of the following events:

a) The event that a 3 is rolled and a head is tossed

b) The event that a 9 is rolled and a tail is tossed

c) The event that an even number is rolled and a tail is tossed.

Solution

a)

P(Head) =1/2 and P(3) =1/6

Hence

P(head and 3) = (1/2)*(1/6) = 1/12

b)

P(tail) =1/2 and P(9) =4/36 =1/9

Hence

P(tail and 3) = (1/2)*(1/9) = 1/18

c)

P(tail) =1/2 and P(even number) =1/2

Hence

P(tail and even number) = (1/2)*(1/2) = 1/4