Probability Test 3 Fall 2024

Front

What is the formula to calculate combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and ! denotes factorial.

Front

How many different combinations of 5 classes can be chosen from 7 classes?

Back

C(7, 5) = 7! / (5!(7 - 5)!) = 21.

Front

What is the probability of an event?

Back

Probability is a measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

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

Back

The answer is 0.9, indicating a high likelihood of either not playing a sport or playing an instrument.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

If the probability that Mary doesn't study is 5/9, what is the probability that she passes given that she doesn't study?

Back

The probability that she passes given that she doesn't study is 0.36.

Front

What is the formula for calculating conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the theoretical probability of getting heads when flipping a fair coin?

Back

The theoretical probability of getting heads is 1/2.

Front

If you flip a coin 40 times and get heads 11 times, what is the experimental probability of getting heads?

Back

The experimental probability is 11/40.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from experiments.