Compound Events

The cup on Sophie’s desk holds 4 red pens and 7 black pens. What is the probability of her selecting first a black pen, and then a red one?

Three cards are selected from a standard deck of 52 cards. What is the probability of selecting a king, a queen, or a red card?

What is the probability of drawing two cards showing odd numbers from a set of cards that show the first 20 counting numbers if the first card is not replaced before the second is chosen?

A bag contains 45 dyed eggs: 15 yellow, 12 green, and 18 red. What is the probability of selecting a green or a red egg?

There are 3 quarters, 4 dimes, and 7 nickels in a change purse. Suppose 3 coins are selected without replacement. What is the probability of selecting a quarter, then a dime, and then a nickel?

A basket contains 4 plums, 6 peaches, and 5 oranges. What is the probability of picking 2 oranges, then a peach if 3 pieces of fruit are selected at random?

The letters of the alphabet are placed in a bag. What is the probability of selecting a vowel or one of the letters from the word QUIZ?

A photographer has taken 8 black and white photographs and 10 color photographs for a brochure. If 4 photographs are selected at random, what is the probability of picking first 2 black and white photographs, then 2 color photographs?

The letters from the word LOVE and LIVE are placed on cards and put in a box. What is the probability of selecting an L or an O from the box?

A 1 is rolled, then a 2, then a 3