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Probability - Sample Math Practice Problems

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Complexity=6

Find the probability that a randomly selected piece of the shape will be highlighted and find the odds that a piece chosen will not be highlighted. Express probabilities as a simplified fraction and odds as a ratio of two numbers with no common factors other than 1 (i.e. "2:1").

Complexity=7

Complexity=8

Complexity=9

Complexity=10

Answers

Complexity=5

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 3 pieces that are highlighted out of 4 pieces. Thus, the probability that a randomly chosen piece is highlighted is 3/4.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 1:3.

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 3 pieces that are highlighted out of 5 pieces. Thus, the probability that a randomly chosen piece is highlighted is 3/5.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 2:3.

Complexity=6

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There is 1 piece that is highlighted out of 3 pieces. Thus, the probability that a randomly chosen piece is highlighted is 1/3.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 2:1.

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 2 pieces that are highlighted out of 3 pieces. Thus, the probability that a randomly chosen piece is highlighted is 2/3.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 1:2.

Complexity=7

Problem

Correct Answer

Your Answer

Probability:

Odds:

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 3 pieces that are highlighted out of 6 pieces. Thus, the probability that a randomly chosen piece is highlighted is 1/2.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 3:3 which simplifies to 1:1.

Complexity=8

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 5 pieces that are highlighted out of 6 pieces. Thus, the probability that a randomly chosen piece is highlighted is 5/6.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 1:5.

Problem

Correct Answer

Your Answer

Probability:

Odds:

Complexity=9

Problem

Correct Answer

Your Answer

Probability:

Odds:

Solution
There are 4 pieces that are highlighted out of 8 pieces. Thus, the probability that a randomly chosen piece is highlighted is 1/2.

Since odds is a ratio of the event happening to the event not happening, we can simply take a ratio of the number of pieces unhighlighted to the number of pieces highlighted. In this case that would be 4:4 which simplifies to 1:1.

Problem

Correct Answer

Your Answer