Sample Space and Probability

Front

What is a sample space in probability?

Back

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

Front

How do you calculate the total number of outcomes in a probability experiment?

Back

Multiply the number of choices for each event. For example, if there are 2 choices for one event and 3 for another, the total outcomes are 2 x 3 = 6.

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

If a die is rolled, what is the probability of rolling a 4?

Back

1/6, since there is one favorable outcome (rolling a 4) out of six possible outcomes.

Front

What is the probability of rolling a sum of 5 with two dice?

Back

There are 4 combinations: (1,4), (2,3), (3,2), (4,1). So, the probability is 4/36 = 1/9.

Front

What is the probability of rolling a sum of 9 with two dice?

Back

There are 4 combinations: (3,6), (4,5), (5,4), (6,3). So, the probability is 4/36 = 1/9.

Front

What is the greatest probability outcome when rolling two dice?

Back

The greatest probability outcome is a sum of 6, which can occur in 5 different ways.

Front

What is the probability of drawing an ace from a standard deck of cards?

Back

1/13, since there are 4 aces in a deck of 52 cards.

Front

How do you find the probability of an event not occurring?

Back

Subtract the probability of the event from 1. For example, if the probability of drawing a blue marble is 1/5, then the probability of not drawing a blue marble is 1 - 1/5 = 4/5.

Front

In a bag with 5 blue, 12 black, 6 red, and 7 green marbles, what is the probability of not drawing a blue marble?

Back

5/6, since there are 30 total marbles and 25 are not blue.