Problems solved

Question

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Answer 1

n = 52 cards in a standard deck

x = # of face cards (Jack, Queen, and King)

There are 12 face cards (4 Jacks, 4 Queens, and 4 Kings).

P(not a face card) = 1 - P(face card) = 1 - (12/52) = 40/52 = 10/13 = 0.7692

Answer 2

You cannot answer this question unless you assume that Mildred's choosing an apple and peanut butter are independent of each other. They may not be. Maybe she likes to eat them together.

You will need to find the probability that she does NOT bring peanut butter (and you know the probability that she DOES bring peanut butter).

Also, find the probability that she does NOT bring an apple.

If they are independent, you can multiply these two probabilities to get the answer.

If they are not independent, you do not have enough information to get the answer.

Answer 3

This is a counting problem (probability) not a trigonometry problem. If you do something in steps, you can multiply the number of ways to do each step. How many choices does he have for an angel fish? How many choices does he have for a parrot fish? Multiply these answers together to find out how many ways to pick 1 angel fish and 1 parrot fish.