PA Compound Probability - AND

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

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is selected from a set, it is not returned to the set before the next selection. This affects the total number of items available for subsequent selections.

Front

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

Back

The probability of two independent events A and B occurring is calculated by multiplying their individual probabilities: P(A and B) = P(A) * P(B).

Front

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

Back

The probability is 1/7.

Front

How do you find the probability of two dependent events?

Back

For dependent events, the probability of both events occurring is calculated by multiplying the probability of the first event by the probability of the second event given that the first event has occurred: P(A and B) = P(A) * P(B|A).

Front

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

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes: P(Event) = Number of Favorable Outcomes / Total Outcomes.

Front

What is the probability of spinning red on a spinner and picking a red marble from a bag containing 2 red, 3 green, and 3 blue marbles?

Back

The probability is 1/16.

Front

What is the probability of rolling a 6 on a number cube and then rolling a number less than 5?

Back

The probability is 1/9.

Front

What does 'with replacement' mean in probability?

Back

'With replacement' means that after an item is selected from a set, it is returned to the set before the next selection. This keeps the total number of items the same for each selection.

Front

How do you calculate the probability of drawing two purple pencils from a basket containing 5 purple and 9 brown pencils with replacement?

Back

The probability is 25/196.