# Probability

> TSI Math Test Study Guide · Hightower High School P-TECH (2023)
>
> Source: [complete Markdown guide](../TSI-Math-Test-Study-Guide.md) · [original PDF](../1062198634-Hightower-TSI-Test-Study-Guide-v2-MATH.pdf)


#### 1. A box contains 3 chocolate chip, 5 oatmeal raisin, and 4 peanut butter cookies. What is the probability that a peanut butter cookie will be selected?

**A.** $\frac{1}{4}$

**B.** $\frac{1}{3}$

**C.** $\frac{1}{2}$

**D.** $\frac{3}{4}$


#### 2. A bowl contains 6 green grapes, 10 red grapes, and 8 black grapes. Which of the following is the correct calculation for probability of choosing a red grape and then without putting the red grape back into the bowl, choosing a green grape?

**A.** $\frac{10}{24} + \frac{6}{24}$

**B.** $\frac{10}{24} + \frac{6}{23}$

**C.** $\frac{10}{24} \times \frac{6}{24}$

**D.** $\frac{10}{24} \times \frac{6}{23}$


#### 3. A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes. One cube is selected at random from the bag, what is the probability the cube will not be blue?

**A.** $\frac{1}{4}$

**B.** $\frac{5}{8}$

**C.** $\frac{3}{4}$

**D.** $\frac{7}{8}$


#### 4. On average, there are 18 children per classroom in the 6 classrooms at West Elementary school. What is the total number of children in these 6 classroom?

**1.** 108

**2.** 200

**3.** 208

**4.** 300


#### 5. If the trend shown in the graph above continued into the next year, approximately how many sport utility vehicles were sold in 1999?

*Graph required: sport utility vehicle sales trend for 1993–1998.*

**A.** 3 million

**B.** 2.5 million

**C.** 2 million

**D.** 3 thousand


#### 6. Dan choose a card at random from a deck of 52 cards, in which there are 13 diamonds cards, 13 spades cards, 13 hearts cards, and 13 clubs cards. What is the probability that the chosen card is a red card?

**A.** $\frac{1}{13}$

**B.** $\frac{1}{4}$

**C.** $\frac{1}{2}$

**D.** 1


#### 7. David choose a card at random from a deck of 52 cards, in which there are 13 diamonds cards, 13 spades cards, 13 hearts cards, and 13 clubs cards. What is the probability that the chosen card is a diamonds card?

**A.** $\frac{1}{13}$

**B.** $\frac{1}{4}$

**C.** $\frac{1}{2}$

**D.** 1


#### 8. From the integers from 1 to 50, inclusive, one integer will be selected at random. Which of the following is most likely?

**A.** The integer selected will be even.

**B.** The integer selected will be a multiple of 5.

**C.** The integer selected will be a multiple of 10.

**D.** The integer selected will be a multiple of 20.


#### 9. A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12}. What is the probability of rolling a number less than 8?

**A.** $\frac{1}{4}$

**B.** $\frac{9}{8}$

**C.** $\frac{3}{4}$

**D.** $\frac{7}{12}$