S2 Exam Review: Set Theory and Probability

Given: Set A = {1, 5, 6, 7, 9, 10} Set B = {3, 5, 9, 12} What is A ∩ B?

• {5, 6, 7, 9}

• {1, 5, 6, 7, 9, 10, 11, 12}

• {5,9}

• {1, 5, 6, 9, 12}

Tags

CCSS.HSS.CP.A.1

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color | Frequency Red | 4 Blue | 3 Green | 2 Yellow| 2 Purple| 6 Based on these results, express the probability that the next spin will land on red as a fraction in simplest form.

• 3/17

• 4/17

• 2/17

• 6/17

Tags

CCSS.7.SP.C.6

There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

• 5/9

• 2/3

• 4/9

• 1/2

Tags

CCSS.HSS.CP.B.7

A bag contains 4 red marbles, 7 blue marbles, and 3 green marbles. If two marbles are drawn out of the bag (without replacement), what is the exact probability that both marbles drawn will be blue?

• 6/13

• 42/182

• 49/196

• 7/14

A bag contains 10 red marbles, 5 blue marbles, and 9 green marbles. If three marbles are drawn out of the bag (without replacement), what is the exact probability that all three marbles drawn will be green?

• 28/969

• 21/506

• 7/68

• 27/512

Tags

CCSS.HSS.CP.B.9

Let X and Y be the following sets:

X = {1,3,5,7}

Y = {2,4,6,8}

Which of the following is the set X∪Y ?

• {2,4,6,8}

• {1,3,5,7}

• {1,2,3,4,5,6,7,8}

• { }

Tags

CCSS.HSS.CP.A.1

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A U B?

• {1, 2, 3, 4, 5, 6, 7, 9}
• {1, 2, 3, 5}
• {4, 6, 7, 9}
• { }

Tags

CCSS.HSS.CP.A.1

Tags

CCSS.HSS.CP.A.1

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/6

• 1/9

• 1/3

Tags

CCSS.7.SP.C.7B