Question 1

1. Which of the following best defines the union of two sets A and B?

Accepted Answer

It is the set of outcomes that are in either of the two sets A and B

Answer

It is the set of all outcomes that are both in the two sets A and B.

Answer

It is the set of outcomes that are in set A but not in set B

Answer

It is the set of outcomes that are in set B but not in set A

Question 2

2. Which of the following best illustrates the intersection of events A and B?

Accepted Answer

https://uploads.quizalize.com/06c96b2e-1f63-438e-bbaa-36bb8a46539f/question/e0b8072237ec3bfed3ebc3233ee4aba06f3261df.png

Answer

https://uploads.quizalize.com/06c96b2e-1f63-438e-bbaa-36bb8a46539f/question/8e639ad983cd47e31bc3ad9b45ad7aaba13216be.png

Answer

https://uploads.quizalize.com/06c96b2e-1f63-438e-bbaa-36bb8a46539f/question/c2967b94da1dbeef2014ecfe240a28a498e407b2.png

Answer

https://uploads.quizalize.com/06c96b2e-1f63-438e-bbaa-36bb8a46539f/question/7e0e57d90ef11cec3c571bebc830c836efdd5813.png

Question 3

3. What statement does the shaded region on the right represents?

Accepted Answer

The union of X and Z

Answer

The union of X and Y

Answer

The intersection of X and Z

Answer

The intersection of X and Y

Question 4

4. Which of the following statements are true for the Venn diagram shown?

Accepted Answer

E ∩ T = 28

Answer

P U T = 37

Answer

P ∩ T = 12

Answer

E U P = 35

Question 5

5. Six different colored balls, blue, red, yellow, orange, pink, green, are in a box. If event A is “a primary-colored ball will be drawn” and event B is “a green ball is drawn”, what is A U B?

Accepted Answer

{blue, red, yellow, green}

Answer

{red, green}

Answer

{blue, yellow, green}

Answer

{red, yellow, green}

Question 6

6. Which of the following pair of events when rolling a die are mutually exclusive?

Accepted Answer

A = the number is odd ; B = the number is greater than 5

Answer

A = the number is greater than 3 ; B = the number is divisible by 2

Answer

A = the number is even ; B = the number is greater than 1

Answer

A = the number is odd ; B = the number is greater than 2

Question 7

7. If you toss three coins at once, and A be the event that “at least one head will appear” and B be the event that “at least two tails appear”, what is A ∩ B?

Accepted Answer

{(TTH)}

Answer

{(TTT), (TTH)}

Answer

{(HHT), (HTH), (THH)}

Answer

{(HTH), (HHT), (THH)}

Question 8

8. Which of the following statements implies union of events?

Accepted Answer

The book purchased is either a romance or horror genre.

Answer

The person is both a dance or singer

Answer

The newspaper is either old and accurate

Answer

The car purchased is either black or white

Question 9

9. If you roll a die and event A is “the number is even”, what should be event B so that AU B is {2, 3, 4, 5, 6}?

Accepted Answer

The number is greater than 2

Answer

The number is odd

Answer

The number is greater than 3

Answer

The number is divisible by 3

Question 10

10. If in shuffling a deck of cards, event A is “getting a black card” and event B is “getting an ace”, what is A ∩ B?

Accepted Answer

{ace of spades, ace of clubs}

Answer

{ace of hearts, ace of diamonds}

Answer

{ace of hearts, ace of spades}

Answer

{ace of clubs, ace of diamonds}

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