Compound Probability Practice

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 independent events?

Back

To calculate the probability of independent events, multiply the probability of each event occurring. For example, P(A and B) = P(A) * P(B).

Front

What is the probability of rolling a 6 on a number cube?

Back

The probability of rolling a 6 on a standard number cube (die) is 1/6.

Front

What is the probability of rolling a number less than 5 on a number cube?

Back

The probability of rolling a number less than 5 (1, 2, 3, or 4) is 4/6 or 2/3.

Front

If a number cube is rolled twice, what is the probability of rolling a 6 first and then a number less than 5?

Back

The probability is (1/6) * (2/3) = 1/9.

Front

What is experimental probability?

Back

Experimental probability is the probability based on the actual results of an experiment, calculated as the number of successful outcomes divided by the total number of trials.

Front

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

Back

The probability of drawing a spade from a standard deck of 52 cards is 13/52 or 1/4.

Front

What is the probability of drawing a 7 from a standard deck of cards?

Back

The probability of drawing a 7 from a standard deck of 52 cards is 4/52 or 1/13.

Front

What is the probability of drawing a spade or a 7 from a standard deck of cards?

Back

The probability is P(spade) + P(7) - P(spade and 7) = (13/52) + (4/52) - (1/52) = 16/52 or 4/13.

Front

If the probability of an event happening is 30%, what is the probability of it not happening?

Back

The probability of it not happening is 100% - 30% = 70%.