# Independent Events Lesson Check

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Questions: 5 | Attempts: 633

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• 1.

### What is the probability(fraction) that you will roll two 3's in a row, on a fair 6-sided die?

• A.

1/6

• B.

1/36

• C.

1/3

• D.

1/1

B. 1/36
Explanation
The probability of rolling a 3 on a fair 6-sided die is 1/6. Since we want to roll two 3's in a row, we need to multiply the probabilities together. Therefore, the probability of rolling two 3's in a row is (1/6) * (1/6) = 1/36.

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• 2.

### If you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll a 2?

• A.

1/18

• B.

1/12

• C.

1/24

• D.

1/3

B. 1/12
Explanation
The probability of flipping a tails is 1/2, as there are two possible outcomes (heads or tails) and they are equally likely. The probability of rolling a 2 on a 6-sided die is 1/6, as there is one favorable outcome (rolling a 2) out of six possible outcomes (rolling a number from 1 to 6). To find the probability of both events happening, we multiply the probabilities together: (1/2) * (1/6) = 1/12. Therefore, the probability of flipping a tails and rolling a 2 is 1/12.

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• 3.

### Captain Kevin has a ship, the H.M.S. Khan. The ship is two furlongs from the Dread Pirate and his merciless band of thieves. The Captain has a 3/5 chance of hitting the Dread Pirate's ship with a cannon. The Dread Pirate only has one good eye, so he will hit the Captain's ship with probability 1/5 of hitting the captains ship with a cannon. If both fire their cannons at the same time, what is the probability that the Captain hits the Dread Pirate's ship, but the Dread Pirate misses?

• A.

3/25

• B.

12/20

• C.

3/15

• D.

12/25

D. 12/25
Explanation
The probability that the Captain hits the Dread Pirate's ship is 3/5, and the probability that the Dread Pirate misses the Captain's ship is 4/5 (since he has a 1/5 chance of hitting). To find the probability that both events occur, we multiply the probabilities together: (3/5) * (4/5) = 12/25. Therefore, the probability that the Captain hits the Dread Pirate's ship, but the Dread Pirate misses, is 12/25.

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• 4.

### Michael Beasley is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 75%, percent of the time. What is the probability of Michael Beasley making all of his next 4 free throw attempts?

• A.

.75^8

• B.

.375^4

• C.

.75^4

• D.

1.50^2

C. .75^4
Explanation
The probability of Michael Beasley making each free throw is 75%. Since making or missing free throws doesn't change the probability of making the next one, the probability of him making all 4 of his next free throw attempts is calculated by multiplying the individual probabilities together. Therefore, the correct answer is .75^4.

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• 5.

### If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll at least a 3?

• A.

1/2

• B.

4/18

• C.

4/12

• D.

4/24

C. 4/12
Explanation
The probability of flipping a heads is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely. The probability of rolling at least a 3 on a 6-sided die is 4/6 since there are four favorable outcomes (rolling a 3, 4, 5, or 6) out of six possible outcomes. To find the probability of both events happening, we multiply the probabilities together, giving us (1/2) * (4/6) = 4/12. Therefore, the correct answer is 4/12.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Apr 16, 2018
Quiz Created by
Gavinj

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