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, calculated by multiplying the probabilities of the individual events if they are independent.

Front

Define independent events in probability.

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another event.

Front

What is the formula for calculating the probability of two independent events A and B occurring together?

Back

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

Front

If you roll a die, what is the probability of rolling a 4?

Back

1/6, since there are 6 possible outcomes.

Front

What is the probability of drawing a blue marble from a bag containing 4 red, 2 blue, and 3 green marbles?

Back

2/9, since there are 9 total marbles.

Front

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

Back

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

Front

How do you calculate the probability of drawing a blue marble and flipping heads?

Back

Multiply the probability of each event: P(blue marble) * P(heads) = (2/9) * (1/2) = 1/9.

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation of all possible outcomes of an event, showing the paths that can be taken.

Front

If a die is rolled and a coin is flipped, how many total outcomes are there?

Back

12 total outcomes (6 outcomes from the die and 2 from the coin: 6 * 2 = 12).

Front

What is the probability of rolling a 3 and spinning a red?

Back

1/24, calculated as P(rolling a 3) * P(spinning red) = (1/6) * (1/4).