Compound Probability

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

Back

P(A and B) = P(A) * P(B) if A and B are independent.

Front

What is the probability of drawing two pears from a basket containing 5 pears and 5 other fruits without replacement?

Back

5/10 * 4/9.

Front

How do you calculate the probability of selecting two boys from a group of 35 boys and 50 girls?

Back

P(boy1) = 35/85, P(boy2) = 34/84, so P(both boys) = 35/85 * 34/84.

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

If a bag contains 3 red marbles, what is the probability of drawing a red marble?

Back

3/9.

Front

What is the probability of drawing a violet ball first and a pink ball second with replacement?

Back

8/36.

Front

What is the probability of drawing a red marble and then a green marble from a bag of 17 marbles?

Back

2/17 * 6/16.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is drawn, it is not put back into the pool of items for subsequent draws.

Front

What does 'with replacement' mean in probability?

Back

'With replacement' means that after an item is drawn, it is returned to the pool of items before the next draw.