Independent and Dependent Probability

Front

What is independent probability?

Back

Independent probability refers to the likelihood of an event occurring that is not affected by the occurrence of another event.

Front

What is dependent probability?

Back

Dependent probability refers to the likelihood of an event occurring that is affected by the occurrence of another event.

Front

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

Back

To find the probability of two independent events A and B occurring, multiply their probabilities: P(A and B) = P(A) * P(B).

Front

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

Back

To find the probability of two dependent events A and B occurring, multiply the probability of the first event by the probability of the second event given the first: P(A and B) = P(A) * P(B|A).

Front

What is the total number of marbles in a bag containing 3 red, 4 gray, 6 white, and 5 black marbles?

Back

The total number of marbles is 3 + 4 + 6 + 5 = 18.

Front

If a marble is drawn from a bag and replaced, what type of probability is this?

Back

This is an example of independent probability because the replacement means the total number of marbles remains the same.

Front

What is the probability of drawing a red marble from a bag of 18 marbles?

Back

The probability of drawing a red marble is P(red) = number of red marbles / total marbles = 3/18 = 1/6.

Front

What is the probability of drawing a gray marble after drawing a red marble with replacement?

Back

The probability remains the same: P(gray) = number of gray marbles / total marbles = 4/18 = 2/9.

Front

In a class of 15 boys and 14 girls, what is the probability of selecting a girl first?

Back

P(girl) = number of girls / total students = 14/29.

Front

What is the probability of selecting a boy after selecting a girl in a class of 15 boys and 14 girls?

Back

P(boy | girl selected) = number of boys / total students = 15/29.