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? (1 point)
5 over 6
3 over 6
4 over 24
2 over 24
To find the probability that Dennis will select a pink shirt and the coin will land tails up, we need to multiply the probability of selecting a pink shirt by the probability of the coin landing tails up.
Probability of selecting a pink shirt:
There are a total of 1 + 6 + 1 + 4 = 12 shirts in the closet, and 4 of them are pink. So, the probability of selecting a pink shirt is 4/12 = 1/3.
Probability of the coin landing tails up:
There are 2 possible outcomes for the coin landing tails up (tails or heads), so the probability of the coin landing tails up is 1/2.
Now, multiply the two probabilities together:
(1/3) * (1/2) = 1/6
Therefore, the probability that Dennis will select a pink shirt and the coin will land tails up is 1/6.