Probability Test 2 Fall 2024

Front

What is theoretical probability?

Back

Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in an experiment.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of pulling a green marble from a bag containing 3 red, 2 blue, 1 yellow, and 4 green marbles?

Back

P(Green) = 4/10.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

What does P(Pants|Sandals) represent?

Back

P(Pants|Sandals) represents the probability of wearing pants given that sandals are being worn.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).

Front

How do you find the probability of not rolling a 6 on a die?

Back

P(Not 6) = 1 - P(6) = 1 - (1/6) = 5/6.

Front

What is the formula for finding the joint probability of two independent events?

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Front

If the probability that a woman likes blue is 15% and the probability of being a woman is 40%, what is the probability that a randomly chosen person is a woman who likes blue?

Back

P(Woman and Likes Blue) = P(Woman) * P(Likes Blue) = 0.4 * 0.15 = 0.06.

Front

What is the probability that a student does not play a team sport or does not play an instrument?

Back

Use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).