Multiplication Rule for Independent and Dependent Events

Front

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

Back

1/12

Front

What is the probability of tossing a coin four times and getting tails each time?

Back

1/16

Front

You draw 2 cards from a deck of 52 without replacing the first. What is the probability you will draw a black 7, keep it, then draw a red ace?

Back

1/663

Front

A bag contains 15 beads. 9 are black and 6 are white. What is the probability you will choose a white bead, keep it, then choose a black bead?

Back

9/35

Front

Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

Back

1/216

Front

Define independent events in probability.

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

Define dependent events in probability.

Back

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

Front

What is the multiplication rule for independent events?

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Front

What is the multiplication rule for dependent events?

Back

P(A and B) = P(A) * P(B|A) for dependent events A and B.

Front

If the probability of event A is 1/4 and event B is 1/3, what is the probability of both events occurring if they are independent?

Back

1/12