Probability Techniques

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

• 1/5

• 5/6

• 1/6

• 6/5

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

• 1/2

• 1/12

• 1/6

• 1/4

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

• 1/13

• 1/4

• 3/16

• 1/10

Sarah, Sammie, Victor, Vicki, and Valerie are in math group. Two students are randomly picked to be the co-leaders. What is the probability that the students picked were Sammie and Victor?

• 1/25

• 2/5

• 1/5

• 1/20

Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?

• 3/5 times 3/5 = 9/25

• 3/5 times 1/2 = 3/10

• 1/5 times 2/5 = 2/15

• 3/5 times 1/4 = 3/20

Ten students are sitting in the front row of at a concert and exactly three of them are from Portland. If two students from the front row are selected at random, what is the probability that both of them are from Portland?

• 0.3

• 0.2

• 1/45

• 2/45

• 1/15

There are 2 red cards, 2 blue cards, and 1 green cards in a pile. Two cards are selected at random, one after another without replacement. Find the probability that at least one of them is blue.

• 0.2

• 0.4

• 0.5

• 0.7

• 0.8

A pile containing 5 cards. Two are red, 2 are blue, and one is green. Three cards are selected simultaneously and at random. Find the probability that all three cards are different colors.

• 0.2

• 0.1

• 0.4

• 0.6

• 0.3

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked x

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked y

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉