Kim rolls a dice and flips a coin. b) work out the probability that she gets an even number and a tail

Answer with Step-by-step explanation:

Kim rolls a dice and flips a coin.

P(any event)=number of favorable outcomes/total outcomes

A: gets an even number on rolling a die={2,4,6}

P(A)=P(getting even number)

      =3/6

     = 1/2

B: getting tail on flipping a coin

P(B)=P(getting tail)

      =1/2

Since, both events are independent

Hence, P(A∩B)=P(A)×P(B)

i.e. P(getting an even number and getting a tail)

                      =P(getting even number)×P(getting tail)

                        =

                        = 1/4

Hence,  probability that she gets an even number and a tail is:

1/4