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

Answer:

1/6

Step-by-step 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)=$\dfrac{1}{3}\times \dfrac{1}{2}$

                            =1/6

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