Question
1. Suppose that 50% of Americans drink coffee, 30% drink tea, and 20% drink both coffee and tea. If an American is selected at random,
1. Suppose that 50% of Americans drink coffee, 30% drink tea, and 20% drink both coffee and tea. If an American is selected at random, find a. the probability they drink coffee or drink tea. b. the conditional probability they drink tea given that they drink coffee.
2. At an intersection, each driver who enters can go in one of three directions: L = left, S = straight, or R = right. a. Write down the sample space for the direction of travel for the next 2 drivers who enter the intersection. b. Assuming each car is equally likely to go in any of the 3 directions, what is the probability that the first car turns left and the second car turns right?
3. An urn contains 3 red and 5 green balls. Two balls will be randomly selected, without replacement. a. What is the probability that the first ball is green and the second ball is green? b. What is the probability that at least one of the two balls is red?
4. Consider the probability experiment: A fair, six-sided, die is rolled three times. a. How many outcomes are in the sample space? b. What is the probability that all three flips are 2? c. What is the probability that none of the three flips are 2?
5. Write out the sample space for the following probability experiment: Two marbles are selected without replacement from a bag containing one green, one red, and one blue marble.
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