Lesson 5.6 Multiplication Rule for Independent Events

Front

What is the Multiplication Rule for Independent Events?

Back

The Multiplication Rule states that if two events A and B are independent, the probability of both events occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B).

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other(s).

Front

Define dependent events in probability.

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other(s).

Front

What is the probability of getting tails when tossing a fair coin?

Back

The probability of getting tails in one toss of a fair coin is 1/2.

Front

If a coin is tossed four times, what is the probability of getting tails each time?

Back

The probability is (1/2)^4 = 1/16.

Front

In a standard deck of 52 cards, what is the probability of drawing a diamond?

Back

The probability of drawing a diamond is 13/52 = 1/4.

Front

If you draw two cards from a deck without replacement, what type of events are they?

Back

They are dependent events because the outcome of the first draw affects the second draw.

Front

What is the probability of selecting two diamonds in a row from a deck of cards without replacement?

Back

The probability is (13/52) * (12/51) = 1/17.

Front

What is the probability of selecting two people from a group of 991 subjects, both being heavy smokers if the selection is random?

Back

This scenario is dependent because the selection of the first person affects the probability of the second.

Front

If the probability of rain is 30%, what is the probability of no rain?

Back

The probability of no rain is 1 - 0.30 = 0.70 or 70%.