Probability and Statistics

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the total count of numbers.

Front

How do you calculate the Mean Absolute Deviation (MAD)?

Back

MAD is calculated by finding the average of the absolute differences between each number and the mean of the set.

Front

What is the probability of rolling a specific number on a fair six-sided die?

Back

The probability is 1/6 for any specific number, including rolling a 4.

Front

What is theoretical probability?

Back

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

Front

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

Back

Multiply the probabilities of each event. For example, the probability of rolling a 4 and then rolling an even number is (1/6) * (1/2) = 1/12.

Front

What is the total number of marbles in a bag with 4 green, 3 red, 2 blue, and 1 yellow marble?

Back

The total number of marbles is 4 + 3 + 2 + 1 = 10.

Front

What is the probability of drawing a red marble from a bag with 3 red marbles out of 10 total marbles?

Back

The probability is 3/10.

Front

If you flip a fair coin, what is the probability of landing on heads?

Back

The probability is 1/2.

Front

What is the combined probability of drawing a blue marble and flipping heads from a bag with 2 blue marbles out of 9 total marbles?

Back

The combined probability is (2/9) * (1/2) = 1/9.

Front

What does it mean if an event is independent in probability?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.