EOC Flashcard #4 A2B

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

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

Back

The probability of an event A is given by P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

What is a fair die?

Back

A fair die is a die that has an equal chance of landing on any of its faces.

Front

How do you calculate the probability of rolling a specific number on a fair 6-sided die?

Back

The probability of rolling a specific number (e.g., 3) is P(3) = \frac{1}{6}.

Front

What is the probability of rolling a 3 or a 4 on a fair 6-sided die?

Back

P(3 \cup 4) = P(3) + P(4) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}.

Front

What is a combination in mathematics?

Back

A combination is a selection of items from a larger set where the order of selection does not matter.

Front

How do you calculate combinations?

Back

The number of combinations of n items taken k at a time is given by C(n, k) = \frac{n!}{k!(n-k)!}.

Front

What is the combination of choosing 3 pies from 8?

Back

C(8, 3) = \frac{8!}{3!(8-3)!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56.

Front

What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

Front

What are the mean and standard deviation in a normal distribution?

Back

The mean is the average of the data, and the standard deviation measures the dispersion of the data from the mean.