Multiplication Rule Independent Events Flashcard

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

If the probability of event A is 1/2 and the probability of event B is 1/3, what is the probability of both A and B occurring?

Back

P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6.

Front

What is an independent event in probability?

Back

An independent event is an event whose outcome does not affect the outcome of another event.

Front

How do you calculate the probability of getting a nickel twice when there are 6 nickels and 7 dimes?

Back

P(nickel and nickel) = P(nickel) * P(nickel) = (6/13) * (6/13) = 36/169.

Front

What is the total number of coins if there are 6 nickels and 7 dimes?

Back

Total coins = 6 nickels + 7 dimes = 13 coins.

Front

If the probability of an event is 1/4, what is the probability of the event not occurring?

Back

The probability of the event not occurring is 1 - P(event) = 1 - 1/4 = 3/4.

Front

What does it mean if two events are dependent?

Back

Two events are dependent if the outcome of one event affects the outcome of the other event.

Front

If you roll a die, what is the probability of rolling a 3?

Back

P(rolling a 3) = 1/6, since there is one favorable outcome out of six possible outcomes.

Front

What is the probability of flipping a coin and getting heads?

Back

P(heads) = 1/2, since there are two possible outcomes: heads or tails.

Front

If the probability of event C is 1/8, what is the probability of event C not occurring?

Back

P(not C) = 1 - P(C) = 1 - 1/8 = 7/8.