Compound Probability Test Review

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

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

Back

To find 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 probability of selecting a red marble followed by a purple marble if there are 4 red and 5 purple marbles in a bag of 45 marbles?

Back

P(Red, Purple) = (4/45) * (5/44) = 20/1980 = 1/99.

Front

What does it mean if the probability of an event is 0.5?

Back

A probability of 0.5 means that the event is equally likely to occur or not occur, indicating a 50% chance.

Front

What is the formula for calculating the probability of selecting a yellow marble on both selections if there are 2 yellow marbles in a bag of 36 marbles?

Back

P(Yellow, Yellow) = (2/36) * (1/35) = 2/1260 = 1/630.

Front

If the probability of an event is 1/4, what percentage does this represent?

Back

1/4 represents 25%.

Front

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

Back

The probability of flipping a coin and getting heads is 1/2 or 50%.

Front

How do you find the probability of selecting a green marble followed by a heads in a coin flip?

Back

If there are 3 green marbles in a bag of 24 marbles, P(Green, Heads) = (3/24) * (1/2) = 3/48 = 1/16.

Front

What is the probability of selecting a yellow marble on both selections if there are 3 yellow marbles in a bag of 36 marbles?

Back

P(Yellow, Yellow) = (3/36) * (2/35) = 6/1260 = 1/210.

Front

What is the probability of selecting a purple marble from a bag of 20 marbles if there are 5 purple marbles?

Back

P(Purple) = 5/20 = 1/4.