May 6 - Multiplication Rule for Probability

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement? (Hint: Use Multiplication Rule)

• $\frac{3}{20}$

• $\frac{1}{6}$

• $\frac{15}{56}$

• $\frac{8}{15}$

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? (Hint: Use Addition Rule)

• 8/15

• 6/11

• 3/4

• 2/3

Tags

CCSS.HSS.CP.B.7

Natasha wants to unlock the supply cabinet in her office. She has 10 cabinet keys and knows that only one of these keys will unlock the supply cabinet. If she randomly selects a key without replacement, which expression represents the probability that the third key selected will unlock the supply cabinet?  (Hint: Use Multiplication Rule)

• $\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{8}\right)$

• $\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{8}\right)$

• $\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{10}\right)$

• $\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{10}\right)$

A stack of magazines has 5 news magazines and 10 sports magazines. Two magazines are drawn at random without replacement. What is the probability of selecting a news magazine first and then a sports magazine?  (Hint: Use Multiplication Rule)

• $\frac{1}{5}$

• $\frac{3}{14}$

• $\frac{2}{9}$

• $\frac{5}{21}$

A box of stickers contains 25 gold stars, 75 red stars, and 50 blue stars, all of the same size. In two random selections, what is the probability of selecting a blue star, replacing it, and then selecting a blue star again?  (Hint: Use Multiplication Rule)

• $\frac{1}{9}$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{2}{3}$

Brent has a shopping bag with 8 similar size containers of yogurt: 2 strawberry, 3 cherry, and 3 raspberry. If he randomly takes 2 yogurt containers from the bag without replacement, what is the probability that neither will be strawberry yogurt?  (Hint: Use Multiplication Rule)

• $\frac{1}{28}$

• $\frac{13}{28}$

• $\frac{15}{28}$

• $\frac{27}{28}$

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies without replacement. What is the probability that the first movie is an action movie and the second movie is a comedy?  (Hint: Use Multiplication Rule)

• $\frac{1}{18}$

• $\frac{10}{81}$

• $\frac{5}{36}$

• $\frac{7}{9}$

A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green? (Hint: Use Addition Rule)

• 3/10

• 4/10

• 7/10

• None of the above

Tags

CCSS.HSS.CP.B.7