The Multiplication Rule for Independent Events

In City A, 35% of all residence have at least 3 people living in the residence and in City B, 40% of all residence have at least 3 people living in the residence. A residence will be selected from each city. What is the probability that both residence sets have at least 3 people living in the residence?

• 0.86

• 0.75

• 0.25

• 0.14

Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If six lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work?

• 0.735

• 0.70

• 0.265

• 0.30

You play chess with a friend, and from past experience, you know each game is independent of each other and estimate the probability of winning any game to be 0.6. If you play three games against your friend, what is the probability that you win at least 1 game?

• 0.064

• 0.216

• 0.784

• 0.936

Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work. And 5% are defective. If six lightbulbs are selected at random from the shipment, what is the probability that at least one of them is defective?

• 0.735

• 0.70

• 0.265

• 0.30

A die is rolled and a coin is flipped. The probability that the die lands with a 5 face up is 1/6 and the probability that the coin lands heads up is 1/2. Is the probability that the die lands with a 5 face up and the coin lands heads up up equal to 1/2?

• Yes, because the die and the coin are independent.

• No, because the die and coin are not independent.

• Yes, because the die and coin are mutually exclusive

• No, because the die and the coin are not mutually exclusive.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4