Review Questions
Review Questions
1. On three tests, each graded on a scale of 0 to 100, Jim had an average score of 78. If Jim pulls his average up to 84 after taking two additional tests, what is the lowest possible score he could have received on one of the last two tests?
(A) 78
(B) 86
(C) 88
(D) 93
(D) It is impossible for him to have increased his average score by this amount after taking two additional tests.
2. Suppose the probability of the Red Sox winning the World Series is .1 and the probability of pigs flying is .01. (Assume these events are independent.) What is the probability of pigs flying and the Red Sox not winning the World Series?
(A) .001
(B) .009
(C) .01
(D) .09
(D) .099
3. To build a sandwich at a particular restaurant, customers may choose 1 of 3 types of bread, 1 of 4 different types of meat, and 2 of 5 different types of condiments. How many different sandwiches can be created at this restaurant? (Assume that the two accessories chosen must be different.)
(A) 12
(B) 30
(C) 60
(D) 120
(D) 240
4. A sock drawer contains 6 socks, 3 of which are definitely blue and the other 3 of which are either blue or black (exactly how many of each is unknown). If the probability of picking two blue socks in a given random selection of two socks is 2 /3, how many black socks must the drawer contain?
(A) 0
(B) 1
(C) 2
(D) 3
(D) Impossible to tell
5. A set contains eight distinct elements. Each element is an integer not equal to zero. If for every element x that is in this set, –x is also in this set, what is the mean of the set?
(A) 0
(B)
(C) x
(D)
(D) 1
6. At a local animal shelter, there are 23 animals being cared for. If 15 of the animals are brown, 5 are brown cats, and 7 of the animals are neither brown nor cats, how many cats must be in the animal shelter?
(A) 1
(B) 4
(C) 5
(D) 6
(D) 8
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