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)
=[tex]\dfrac{1}{2}\times \dfrac{1}{2}[/tex]
= 1/4
Hence, probability that she gets an even number and a tail is:
1/4
