fred has 4 shirts. three are blue and one is red. he has tan pants and blue pants. the probability that fred will have on a red shirt and blue pants is

----- out of ----------

The probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

red shirt = 1/5

blue pants = 1/2, assuming he only has one pair of each.

To find the probability that Fred will have on a red shirt and blue pants, we need to determine the total number of possible outfit combinations and the number of outfit combinations that meet the given criteria.

Total Number of Outfit Combinations:
Fred has a total of 4 shirts (3 blue and 1 red) and 2 pairs of pants (tan and blue). So, the total number of outfit combinations is calculated by multiplying the number of shirt options by the number of pant options: 4 shirts x 2 pants = 8 outfit combinations.

Number of Outfit Combinations with a Red Shirt and Blue Pants:
The given criteria state that Fred should wear a red shirt and blue pants. Since there is only 1 red shirt and 1 pair of blue pants, the number of outfit combinations that meet these criteria is 1.

Probability Calculation:
The probability is the number of desirable outcomes (red shirt and blue pants) divided by the total number of possible outcomes.

Number of desirable outcomes = 1
Total number of possible outcomes = 8

Therefore, the probability that Fred will have on a red shirt and blue pants is 1 out of 8.