Probability of Compound Events

Front

What is the probability of a compound event?

Back

The probability of a compound event is the likelihood of two or more events happening together. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

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. For example, flipping a coin and rolling a die are independent events.

Front

What is a dependent event in probability?

Back

A dependent event is an event whose outcome is affected by the outcome of another event. For example, drawing cards from a deck without replacement.

Front

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

Back

To calculate the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the formula for the probability of mutually exclusive events?

Back

For mutually exclusive events A and B, the probability of either A or B occurring is: P(A or B) = P(A) + P(B).

Front

What is the probability of rolling a number greater than 2 on a standard die?

Back

The probability is 4/6 or 2/3, since the numbers greater than 2 are 3, 4, 5, and 6.

Front

What is the probability of spinning a yellow color on a spinner with 4 equal sections (1 yellow, 1 red, 1 blue, 1 green)?

Back

The probability is 1/4, since there is 1 yellow section out of 4 total sections.

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

The probability is 1/2, since there are 26 red cards (hearts and diamonds) out of 52 total cards.

Front

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

Back

The probability is 1/2, since there are 2 possible outcomes (heads or tails).

Front

What is the probability of rolling an even number on a standard die?

Back

The probability is 3/6 or 1/2, since the even numbers are 2, 4, and 6.