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 together?

Back

Multiply the probabilities of each event: P(A and B) = P(A) * P(B).

Front

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

Back

Multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).

Front

What is the probability of drawing two tiles of the same color without replacement?

Back

Calculate the probability of drawing the first tile and then the second tile given the first was not replaced.

Front

If a spinner has 4 equal sections, what is the probability of landing on a specific color?

Back

The probability is 1/4 for landing on any specific color.

Front

What is the probability of guessing all answers correctly on a 5-question true/false quiz?

Back

The probability is (1/2)^5 = 1/32.

Front

If there are 100 raffle tickets and 3 are yours, what is the probability of winning if one ticket is drawn and not replaced?

Back

The probability of winning the second prize after not winning the first is 3/99.

Front

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

Back

P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean if two events are mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time; the occurrence of one event excludes the other.