Multiplication Rule for Probability

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What is the Multiplication Rule for Probability?

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The Multiplication Rule states that the probability of two independent events occurring together is the product of their individual probabilities. For dependent events, the probability of the second event is affected by the first.

Front

If two keys are selected from a key ring with 12 keys, 3 of which open the door, what is the probability that neither key opens the door?

Back

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CCSS.HSS.CP.B.9

Front

In a theater with 9 movies (2 action, 2 children's, and 5 comedies), what is the probability that the first movie is an action movie and the second is a comedy?

Back

Front

What is the probability of selecting a blue star from a box containing 25 gold stars, 75 red stars, and 50 blue stars, replacing it, and selecting a blue star again?

Back

Front

In a bag with 5 red, 4 blue, and 3 green marbles, what is the probability of selecting a red marble, then a blue marble, and then a green marble?

Back

Front

What is the total number of outcomes when selecting 2 keys from a set of 12 keys?

Back

Front

How do you calculate the probability of two dependent events?

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For dependent events, the probability is calculated as: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

What is the probability of selecting one yellow hair clip and one blue hair clip without replacement from a set of 5 yellow, 2 red, and 3 blue hair clips?

Back

Front

What is the formula for the probability of independent events?

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For independent events A and B, the formula is: P(A and B) = P(A) * P(B).

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

If a box contains 150 stickers (25 gold, 75 red, 50 blue), what is the probability of selecting a gold sticker?

Back

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CCSS.7.SP.C.7B