Understanding Probability Answers

A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random. How many possible outcomes are there?

An event with a probability of 1 is ImpossibleLess likely to happenMore likely to happenCertain

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An event with a probability of 0 is ImpossibleLess likely to happenMore likely to happenCertain

Which of these values cannot represent the probability of an event happening?

You are rolling a 6-sided number cube with the numbers 1 through 6. Which of the following represents the probability of rolling an even number?

P(event) =

Which pair does not represent the probabilities of complementary events?

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Sample Response: The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble. Complementary events must have a sum of 1. Which of the following did you include in your response? Check all that apply.No, the probability of choosing a red marble is not the complement of choosing a blue marble.P(red) + P(blue) = 3/5, n

Caitlyn calculated the probability of the complement of rolling a number greater than 2 on a 6-side number cube. She made her calculation as follows.P(less than or equal to 2):Did she make an error? Explain.

Sample Response: Yes, she made an error. Caitlyn should have taken the desired outcomes, rolling a 3, 4, 5, or 6, and divided that by the total possible outcomes to get a probability of 4/6, or 2/3. She should have subtracted this probability from 1 to get the complement, which is 2/6, or 1/3. Which of the following did you use in your response? Check all that apply. Yes, she made an error. The formula is desired outcomes divided by all possible outcomes. The probability should be 1/3.

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock? (Write your final answer as a fraction.) P (black) = StartFraction Number of favorable outcomes over Total number of outcomes EndFraction

What is the probability you will pick an orange at random? 4/95/914/3

When you are determining the probability of an event, why must the probability be between 0 and 1? Explain your answer.