Compound Probability Sample Space

Front

What is a sample space in probability?

Back

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

Front

Define compound event in probability.

Back

A compound event consists of two or more simple events.

Front

What does a tree diagram represent in probability?

Back

A tree diagram visually represents all possible outcomes of a probability experiment.

Front

If a fair coin is tossed three times, what is the sample space?

Back

The sample space consists of 8 outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of getting exactly two heads when tossing a fair coin three times?

Back

Front

In a bag with 5 quarters, 2 dimes, and 4 pennies, what is the probability of picking a quarter?

Back

Front

What is the formula for calculating the probability of a compound event?

Back

The probability of a compound event is the sum of the probabilities of the individual events.

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

If a tree diagram shows 3 shirt options, 2 pants options, and 2 shoe options, how many total outfits can be made?

Back

The total outfits can be calculated as 3 x 2 x 2 = 12.