1. According to the information that comes with a certain prescription drug, when taking this drug, there is a 24% chance of experiencing nausea (N) and a 53% chance of experiencing decreased sexual drive (D). The information also states that there is a 13% chance of experiencing both side effects.

What is the probability of experiencing neither of the side effects?

Your answer should be to two decimal places.

2. According to the information that comes with a certain prescription drug, when taking this drug, there is a 19% chance of experiencing nausea (N) and a 48% chance of experiencing decreased sexual drive (D). The information also states that there is a 11% chance of experiencing both side effects.

What is the probability of experiencing only nausea?

Your answer should be rounded to two decimal places. If you have trouble doing this problem, watch the video below: https://youtu.be/aN0eulm19MM

3. According to the information that comes with a certain prescription drug, when taking this drug, there is a 16% chance of experiencing nausea (N) and a 47% chance of experiencing decreased sexual drive (D). The information also states that there is a 10% chance of experiencing both side effects.

What is the probability of experiencing nausea or a decrease in sexual drive?

Your answer should be rounded to 2 decimal places.

4. Let A and B be two independent events. If P(A) = 0.5, what can you say about P(A | B)?

1. Cannot find it because P(B) is not known.
2. Cannot find it because P(A and B) is not known.
3. Cannot find it because both P(B) and P(A and B) are not known.
4. It is equal to 0.5.
5. It is equal to 0.25.

5. Suppose a basketball team had a season of games with the following characteristics:

Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).

Of all the games, 25% were wins. Denote this by W (the remaining were losses).

Of all the games, 20% were at-home wins.

Of the at-home games, we are interested in finding what proportion were wins. Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?

1. P(H)
2. P(W)
3. P(H and W)
4. P(H | W)
5. P(W | H)

6. Suppose your friends have the following ice cream flavor preferences:

70% of your friends like Chocolate (C). The remaining do not like Chocolate.

40% of your friends like Sprinkles (S) topping. The remaining do not like Sprinkles.

25% of your friends who like Chocolate (C) also like Sprinkles (S).

Of the friends who like Chocolate, which of the following probabilities do you need to find in order to determine the proportion of friends who like Chocolate that also like Sprinkles?

1. P(C)
2. P(S)
3. P(C and S)
4. P(C | S)
5. P(S | C)

7. Let A and B be two independent events. If P(B) = 0.5, what can you say about P(B | A)?

1. Cannot find it because P(A) is not known.
2. Cannot find it because P(B and A) is not known.
3. Cannot find it because both P(A) and P(B and A) are not known.
4. It is equal to 0.5.
5. It is equal to 0.25.

8. Two methods, A and B, are available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time). The following notations are suggested:

AMethod A is used.

BMethod B is used.

LThe skill was learned successfully.

Which of the following is the correct representation of the information that is provided to us?

1. P(A) = 0.75, P(B) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95
2. P(A) = 0.75, P(B) = 0.25, P(A | L) = 0.80, P(B | L) = 0.95
3. P(A) = 0.75, P(B) = 0.25, P(A and L) = 0.80, P(B and L) = 0.95
4. P(A | L) = 0.75, P(B | L) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95
5. P(A and L) = 0.75, P(B and L) = 0.25, P(L | A) = 0.80, P(L | B) = 0.95

9. Which of the following represents the probability that a die toss will be less than four given that it is an odd number?

Event A:	an odd number.
Event B:	less than 4.

1. P(B|A)
2. P(A|B)
3. P(B)

10. Suppose a basketball team had a season of games with the following characteristics:

Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).

Of all the games, 25% were wins. Denote this by W (the remaining were losses).

Of all the games, 20% were at-home wins.

Of the at-home games, what proportion of games were wins? (Note: Some answers are rounded to two decimal places.)

1. 0.12
2. 0.15
3. 0.20
4. 0.33
5. 0.42