1. Which of the pairs of events below is dependent?

Select the correct answer below:

a) drawing a 7 and then drawing another 7 with replacement from a standard deck of cards

b) rolling a 1 and then rolling a 6 with a standard die

c) rolling a 3 and then rolling a 4 with a standard die

**d)** **drawing a heart and then drawing a spade without replacement from a standard deck of cards**

CORRECT ANSWER D

2. Identify the option below that represents dependent events.

Select the correct answer below:

**a) drawing a face card and then drawing a 3 without replacement from a standard deck of cards**

b) rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls

c) drawing a 2 and drawing a 4 with replacement from a standard deck of cards

d) drawing a heart and drawing another heart with replacement from a standard deck of cards

The correct answer is A

3. Which of the following shows mutually exclusive events?

Select the correct answer below:

**a) rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll**

b) drawing a red card and then drawing a black card with replacement from a standard deck of cards

c) drawing a jack and then drawing a 7 without replacement from a standard deck of cards

d) drawing a 7 and then drawing another 7 with replacement from a standard deck of cards

The correct answer is A. (Mutually exclusive events are events that cannot occur together. In this case, drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards are two events that cannot possibly occur together.)

5. A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards

numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is picked at

random, what is the probability that the card has an ODD number?

Select the correct answer below:

a) 10/15

**b) 8/15**

c) 14/15

d) 6/15

(**By counting, we can see that there are 8 odd cards, and a total of 15 cards in the deck. So the probability is 8/15**).

6. Hector is a baseball fan but wants to watch something different. There are 5 basketball

games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly

chooses a game, what is the probability that it is a basketball game? Give your answer as a fraction.

Provide your answer below: **5/11**

7. There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one

card is chosen at random, what is the probability that it is not between the letters L and P,

inclusive?

Provide your answer below: **21/26**

8. A spinner contains the numbers 1 through 80. What is the probability that the spinner will

land on a number that is not a multiple of 12?

Give your answer in fraction form.

Provide your answer below:** 74/80**

9. An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6 vases,

and 2 statues. If she chooses the piece at random, what is the probability that she selects a

painting?

Give your answer as a fraction.

Provide your answer below:** 5/13**

10.Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is

the probability that Boris is assigned a moderate-difficulty question first?

Give your answer as a fraction.

Provide your answer below: **7/15**

11.A spinner contains the numbers 1 through 40. What is the probability that the spinner will

land on a number that is not a multiple of 6? Give your answer as a fraction.

Provide your answer below: **34/40**

12.A spinner contains the numbers 1 through 50. What is the probability that the spinner will

land on a number that is not a multiple of 4?

Provide your answer below: **38/50**