Probability as a Fraction

Question 1

Which of the following correctly states the probability of rolling a 6 on a fair six‑sided die and explains why?

Accepted Answer

The probability is 1/6 because there is one favorable outcome (rolling a 6) out of six equally likely outcomes.

Answer

The probability is 1/5 because there are five numbers that are not 6.

Answer

The probability is 1/4 because a die has four sides.

Answer

The probability is 1/2 because half of the numbers on a die are even.

Question 2

A clear jar holds 9 marbles: 3 red, 3 blue, and 3 green. They were placed in the jar one after another, and the very first marble put in was a red one. If you close your eyes and pick one marble at random, what is the probability that the marble you pick is that exact first marble?

Accepted Answer

1/9

Answer

1/3

Answer

2/9

Answer

1/6

Question 3

A pencil case contains 10 pencils: 5 are yellow, 3 are orange, and 2 are purple. If you pull out one pencil at random, what is the probability that the pencil is yellow or orange? Write your answer as a fraction in simplest form.

Accepted Answer

4/5

Answer

5/10

Answer

8/10

Answer

3/5

Try three questions

Which of the following correctly states the probability of rolling a 6 on a fair six‑sided die and explains why?

A clear jar holds 9 marbles: 3 red, 3 blue, and 3 green. They were placed in the jar one after another, and the very first marble put in was a red one. If you close your eyes and pick one marble at random, what is the probability that the marble you pick is that exact first marble?

A pencil case contains 10 pencils: 5 are yellow, 3 are orange, and 2 are purple. If you pull out one pencil at random, what is the probability that the pencil is yellow or orange? Write your answer as a fraction in simplest form.

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