Theoretical Probability

What is the probability of rolling a 2 on a die AND pulling a spade♠ out of a deck of cards?

• 1 ⁄ 10

• 1 ⁄ 12

• 1 ⁄ 24

• 1 ⁄ 6

Marietta picks a candle from the bunch, replaces it, and then selects one again. What are the chances that she selects a green both times?

• 1/144

• 1/12

• 1/36

• 2/24

• 2/12

• 1/6

• 1/12

• 2/5

• 5/12

The probability that a student is a librarian is 0.2. Three students are chosen random. Find the probability that all three are librarians.

• 0.2

• 0.6

• 0.002

• 0.008

A sample space of an experiment is given by S = {1, 2, 3, …, 20}. Event M and N are defined as follows:

M = {3, 6, 9, 12, 15, 18}

N = {1, 3, 5, 15}

Find P(M and N).

• 0.1

• 0.2

• 0.3

• 0.4

A box contains 20 chocolates. 5 of the chocolates are black chocolates flavour and the other 15 are white chocolates flavour. Two chocolates are taken at random from the box.<\/p>

Find the probability that both chocolates are black chocolates.<\/p>

There are 25 counters in a bag: 6 red,
4 white, 7 blue, and 8 yellow. You choose one counter at random. Which color are you least likely to choose? 

• white 

• blue 

• red 

• yellow

A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?

• 1/3

• 1/7

• 1/9

• 1/12

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12

• 1/4

• 1/8

• 1/2

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8