Probability and Statistics Test

Front

What is probability?

Back

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

Front

How do you calculate the probability of an event?

Back

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

Front

What is a sample space?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is the probability of drawing a red T-shirt from a total of 25 T-shirts?

Back

Front

What does expected probability mean?

Back

Expected probability refers to the long-term average of the probability of an event occurring based on repeated trials.

Front

How do you represent a sample space for rolling a die and flipping a coin?

Back

The sample space consists of pairs like (1, H), (1, T), (2, H), (2, T), ..., (6, H), (6, T).

Front

What is the probability of flipping a head AND rolling either a 3 or a 5?

Back

The probability is 16.7%.

Front

What is a simulation in probability?

Back

A simulation is a method used to model the behavior of a system by generating random samples.

Front

How do you find the probability of exactly 2 out of 4 students watching television?

Back

Use the binomial probability formula or simulation data to calculate the probability.

Front

What is the expected number of winners if there are 750 players and the winning rate is 40%?

Back

Expected winners = 750 * 0.4 = 300.