Question

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

Answer 1

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)/(2)* (1)/(2)`

= 1/4

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

1/4