ACT Review Probability & Statistics Questions Kari R. Hamilton

If a marble is randomly chosen from a bag that contains exactly 10 yellow marbles, 3 green marbles, and 3 orange marbles, what is the probability that the marble will NOT be yellow?

1. If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will NOT be white? A. 3/4 B. 3/5 C. 4/5 D. 3/10 E. 7/10

Kari has 3 sweaters, 8 shirts, and 5 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kari select?

2. Ryan has 4 sweaters, 6 shirts, and 3 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Ryan select? A. 13 B. 36 C. 42 D. 72 E. 216

3. At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible? A. 11 B. 15 C. 30 D. 45 E. 120

4. Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column— only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. SaladsSoupsSandwichesDrinks cole slaw lettuce potato onion tomato meat loaf chicken hamburger ham tenderloin milk cola coffee tea How many different daily lunch specials are possible? A. 4 B. 14 C. 30 D. 120 E. 180

Pat earned 76, 71, 82, and 90 points on the 4 tests, each worth 100 points, given so far this term. How many points must be earn on her fifth test, also worth 100 points, to average 80 points for the 5 tests given this term?

5. Mason earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must be earn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term? A. 87 B. 88 C. 90 D. 92 E. 97

A certain type of shirt costs $20 before sales tax is added. When you buy 4 of the shirts, you receive 1 additional shirt free. What is the average cost per shirt for the 5 shirts before sales tax is added?

6. A certain type of notebook costs $2.50 before sales tax is added. When you buy 9 of these notebooks you receive 1 additional notebook free. What is the average cost per notebook for the 10 notebooks before sales tax is added? $2.78 $2.50 $2.30 $2.25 $2.15

In a town of 700 people, the 400 males have an average age of 65 and the 300 females have an average age of 75. To the nearest year, what is the average age of the town’s entire population?

7. In a town of 500 people, the 300 males have an average age of 45 and the 200 females have an average age of 15. To the nearest year, what is the average age of the town’s entire population? A. 40 B. 41 C. 42 D. 43 E. 44

What is the probability that a number selected at random from the set {3, 5, 10, 15, 20, 25, 30, 45} will be divisible by both 3 and 5?

8. What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3? A. 1/4 B. 3/8 C. 3/5 D. 5/8 E. 7/8