1. In a certain game, the probability of getting a red outcome is 0.03. Find the probability of getting an outcome that is not red? The answer must be in a decimal.

I put 0.97 as the answer ( 1-0.03=0.97)

2. The instructor in a Humanities class says that students have a 15% probability of making an A in her class, 20% probabilty of making a B, 25% chance of making a C, and 20% chance of making a D. The possible grades that can be assigned are A, B, C, D, and F. What is the probability that a student does not make an A?
A) 50%
B) 70%
C) 85%
D) Cannot be determined from the information given.

3. The instructor in a Humanities class says that students have a 15% probability of making an A in her class, 20% probabilty of making a B, 25% chance of making a C, and 20% chance of making a D . The possible grades that can be assigned are A, B, C, D, and F.

What is the probability that a student does not make an A or a B?

A) 35%
B) 65%
C) 3%
D) Cannot be determined from the information given.
E) 20%
F) 15%

4. The instructor in a Humanities class says that students have a 15% probability of making an A in her class, 20% probabilty of making a B, 25% chance of making a C, and 20% chance of making a D. The possible grades that can be assigned are A, B, C, D, and F.

What is the probability of a grade more than a C?

A) 60%
B) 20%
C) 35%
D) Cannot be determined from the information given.
E) 40%
F) 65%

I don't know how to answer or set up problems 2-4...

your #1 is correct

#2. if prob(making A) = 15%
then prob(not making A) = 100%-15% = 85%

#3. to make A or B = 15% + 20% = 35%
(since A and B are independent events, that is, you can't make both an A and a B), we can just add them up
so prob(not making A or B) = 100-35 or 65%

#4 more than C --- > either A or B which is 35%

Thank you!

To answer questions 2-4, we need to understand the concept of complementary events and the formula for probability.

1. Complementary Events:
Complementary events are mutually exclusive events that cover all possible outcomes. In other words, if an event A represents an outcome of interest, the complementary event A' represents all outcomes that are not A.

2. Formula for Probability:
The probability of an event A, denoted as P(A), is equal to 1 minus the probability of the complementary event A'. Mathematically, we have P(A) = 1 - P(A').

Let's now apply these concepts to questions 2-4.

2. The probability that a student does not make an A is the probability of getting any grade other than A. This can be calculated using the formula P(A') = 1 - P(A). Given that the probability of making an A is 15%, we can calculate P(A') = 1 - 0.15 = 0.85. Therefore, the answer is option C: 85%.

3. The probability that a student does not make an A or a B is the probability of getting any grade other than A or B. Again, we can use the formula P(A' or B') = 1 - P(A or B). We know the individual probabilities of making an A and making a B, which are 15% and 20% respectively. So, P(A' or B') = 1 - (0.15 + 0.20) = 1 - 0.35 = 0.65. Therefore, the answer is option B: 65%.

4. The probability of a grade more than a C is the probability of getting a grade B, A, or F. Again, we can use the formula P(B or A or F) = 1 - P(C or D). Given the individual probabilities for grades A, B, C, and D, which are 15%, 20%, 25%, and 20% respectively, we can calculate P(B or A or F) = 1 - (0.15 + 0.20 + 0.25) = 1 - 0.6 = 0.4. Therefore, the answer is option E: 40%.

Remember, to solve these types of questions, identify the event of interest and its complementary event, and then use the formula for probability to find the answer.