sample spaces for simple and compound events

Front

What is a sample space in probability?

Back

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

Front

What is the probability of an event?

Back

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

Front

If a die is rolled, how many even numbers are there?

Back

There are 3 even numbers: 2, 4, and 6.

Front

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

Back

1/2, because there are 3 even numbers out of 6 possible outcomes.

Front

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

Back

0.5, since there are 2 possible outcomes: heads or tails.

Front

What is a compound event in probability?

Back

A compound event is an event that involves two or more simple events.

Front

How do you calculate the probability of a compound event?

Back

You can calculate the probability of a compound event by using the addition rule or the multiplication rule, depending on whether the events are mutually exclusive or independent.

Front

What is the probability of choosing a blue M&M from a bag with 5 green, 6 yellow, 8 blue, and 7 brown M&Ms?

Back

4/13, because there are 8 blue M&Ms out of a total of 26.

Front

What is the total number of outcomes when rolling two dice?

Back

36, because each die has 6 faces, so 6 x 6 = 36.

Front

What is the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

Back

5/11, because there are 5 quarters out of a total of 11 coins.