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These sample problems below for Probability were generated by the MathScore.com engine.

## Sample Problems For Probability

### Complexity=5

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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### 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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### Complexity=7

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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### Complexity=8

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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### Complexity=9

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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### Complexity=10

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").
1.
 Probability: Odds:

2.
 Probability: Odds:

### Complexity=5

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").
1
 Probability: Odds:

Solution
There are 2 pieces that are highlighted out of 4 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 2:2 which simplifies to 1:1.

2
 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.

### 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").
1
 Probability: Odds:

Solution
There are 4 pieces that are highlighted out of 6 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 2:4 which simplifies to 1:2.

2
 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.

### Complexity=7

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").
1
 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.

2
 Probability: Odds:

Solution
There are 6 pieces that are highlighted out of 7 pieces. Thus, the probability that a randomly chosen piece is highlighted is 6/7.

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 1:6.

### Complexity=8

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").
1
 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.

2
 Probability: Odds:

Solution
There are 2 pieces that are highlighted out of 5 pieces. Thus, the probability that a randomly chosen piece is highlighted is 2/5.

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 3:2.

### Complexity=9

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").
1
 Probability: Odds:

Solution
There are 6 pieces that are highlighted out of 7 pieces. Thus, the probability that a randomly chosen piece is highlighted is 6/7.

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 1:6.

2
 Probability: Odds:

Solution
There are 2 pieces that are highlighted out of 4 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 2:2 which simplifies to 1:1.

### Complexity=10

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").
1
 Probability: Odds:

Solution
There are 6 pieces that are highlighted out of 10 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 4:6 which simplifies to 2:3.