Question

The table below shows the number of shirts of different colors in a closet: Color of Shirt Number Red 1 Blue 6 Green 1 Pink 4 A coin Dennis selects a shirt from the closet randomly without looking. What is the probability that Dennis will select a pink shirt and the coin will land tails up?

Answer 1

P( picking a pink shirt) = 4/12 = 1/3
P(tails )= 1/2

so Required probability = 1/3 * 1/2 = 1/6 answer

Answer 2

1/6

Explanation:

Color of Shirt Number

Red 1

Blue 6

Green 1

Pink 4

Total shirts=1+6+1+4=12

P(Dennis picks a pink shirt)=no. of pink shirts/total no. of shirts

=4/12

=1/3

P(coin lands tail)=1/2

P(Dennis picks pink shirt and coin turns up tail)=
`(1)/(3)* (1)/(2)`

=1/6

(since, the events were independent P(A∩B)=P(A)×P(B))