SCAT - School and College Ability Data Interpretation and Probability Questions and Answers

Question 1

The table below shows the number of different colored balls in a bag. If one ball is drawn at random, what is the probability that the ball is NOT blue?

| Color  | Number of Balls |
|--------|-----------------|
| Red    | 8               |
| Blue   | 5               |
| Green  | 10              |
| Yellow | 2               |

Accepted Answer

4/5

Answer

First, calculate the total number of balls: 8 + 5 + 10 + 2 = 25. The number of balls that are not blue is the total number of balls minus the number of blue balls: 25 - 5 = 20. The probability of drawing a ball that is not blue is the number of non-blue balls divided by the total number of balls: 20/25, which simplifies to 4/5.

Question 2

A fair six-sided die is rolled and a fair coin is flipped. What is the probability of rolling an even number and the coin landing on tails?

Accepted Answer

1/4

Answer

The probability of rolling an even number (2, 4, or 6) on a six-sided die is 3 out of 6, or 1/2. The probability of a fair coin landing on tails is 1/2. Since these are independent events, you multiply their probabilities to find the probability of both occurring: (1/2) * (1/2) = 1/4.

Question 3

The line graph shows the number of books a student read each month over a 5-month period: January (4), February (6), March (3), April (7), May (5). What is the average (mean) number of books read per month?

Accepted Answer

5

Answer

To find the mean, sum the number of books read each month and divide by the number of months. Total books = 4 + 6 + 3 + 7 + 5 = 25. Number of months = 5. The mean is 25 / 5 = 5 books per month.

Question 4

A drawer contains 12 red socks and 14 blue socks. What is the minimum number of socks you must pull from the drawer in the dark to guarantee you have a matching pair?

Accepted Answer

3

Answer

This is an application of the pigeonhole principle. In the worst-case scenario, you could pick one red sock and then one blue sock. The third sock you pick must be either red or blue, thus guaranteeing a match with one of the first two socks. Therefore, you must pull 3 socks.

Question 5

A pie chart represents a survey of 120 students' favorite sports. Soccer accounts for 30% of the circle. How many students chose soccer as their favorite sport?

Accepted Answer

36

Answer

To find the number of students who chose soccer, you need to calculate 30% of the total number of students. Convert the percentage to a decimal (30% = 0.30) and multiply by the total number of students: 0.30 * 120 = 36 students.

(SCAT) School and College Ability Test Practice Test

(SCAT) School and College Ability Test Practice Test

SCAT - School and College Ability Data Interpretation and Probability Questions and Answers