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

The probability of Dennis selecting a pink shirt is dependent on the number of pink shirts in the closet in relation to the total number of shirts in the closet. Let's say that the closet has a total of 20 shirts, and 5 of them are pink. Therefore, the probability of Dennis selecting a pink shirt is 5/20 = 1/4.

The probability of a coin landing tails up is 1/2.

To find the probability of both events happening together, we simply multiply the two probabilities:

Probability = (1/4) * (1/2) = 1/8

Therefore, the probability that Dennis will select a pink shirt and the coin will land tails up is 1/8.