Probability: Compound Events

Front

What is a compound event in probability?

Back

A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin simultaneously.

Front

Define independent events in probability.

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die.

Front

Define dependent events in probability.

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement.

Front

What is the probability of drawing two purple pencils from a basket containing 5 purple and 9 brown pencils without replacement?

Back

10/91

Front

If a jar contains 2 green, 4 blue, 3 yellow, and 2 black marbles, what is the probability of drawing a green marble followed by a yellow marble with replacement?

Back

6/121

Front

What is the expected number of heads when flipping a coin 10 times?

Back

5

Front

How do you calculate the probability of two dependent events occurring?

Back

Multiply the probability of the first event by the probability of the second event given that the first event has occurred.

Front

How do you calculate the probability of two independent events occurring?

Back

Multiply the probability of the first event by the probability of the second event.

Front

What is the formula for calculating the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of picking 2 red marbles from a bag containing 6 red, 5 green, and 4 yellow marbles without replacement?

Back

1/7