Q: If two events A and B are independent, which equation correctly represents their joint probability?

$$P(A \text{ and } B) = P(A) \times P(B)$$

Q: A bag contains 5 red balls and 3 blue balls. If you draw two balls with replacement, what is the probability both are red?

$$\frac{5}{8} \times \frac{5}{8}$$

Q: If you draw two cards from a deck without replacement, what is the probability both are aces?

$$\frac{4}{52} \times \frac{3}{51}$$

Question 1

What is the probability of rolling a 4 on a fair six-sided die?

Accepted Answer

$$\frac{1}{6}$$

Question 2

A standard deck of 52 cards is shuffled. What is the probability of drawing a heart?

Accepted Answer

$$\frac{1}{4}$$

Question 3

If two events A and B are independent, which equation correctly represents their joint probability?

Accepted Answer

$$P(A 	ext{ and } B) = P(A) 	imes P(B)$$

Question 4

A bag contains 5 red balls and 3 blue balls. If you draw two balls with replacement, what is the probability both are red?

Accepted Answer

$$\frac{5}{8} 	imes \frac{5}{8}$$

Question 5

Which of the following best describes a 'mutually exclusive' event?

Accepted Answer

Events that cannot occur at the same time

Question 6

Given $$P(A) = 0.4$$, $$P(B) = 0.5$$, and $$P(A 	ext{ and } B) = 0.2$$, what is $$P(A 	ext{ or } B)$$?

Accepted Answer

$$0.7$$

Question 7

If you flip a fair coin three times, what is the probability of getting at least one head?

Accepted Answer

$$\frac{7}{8}$$

Question 8

How many ways can you arrange the letters in the word 'STAT'?

Accepted Answer

$$\frac{4!}{2!}$$

Question 9

A committee of 3 is to be chosen from 8 people. How many different committees are possible?

Accepted Answer

$$\frac{8!}{5!3!}$$

Question 10

Given the following two-way table for students' favorite drinks (Coffee: 30, Tea: 20, Juice: 10), what is the probability a randomly selected student prefers Tea?

Accepted Answer

$$\frac{1}{3}$$

Question 11

If $$P(A) = 0.3$$ and $$P(B) = 0.6$$ and A and B are mutually exclusive, what is $$P(A 	ext{ or } B)$$?

Accepted Answer

$$0.9$$

Question 12

Which formula is used to calculate the number of permutations of $$n$$ objects taken $$r at a $$time?

Accepted Answer

$$\frac{n!}{(n-r)!}$$

Question 13

A medical test for a disease has a 95% accuracy rate. If 1000 people are tested and 10% have the disease, how many people are expected to test positive?

Accepted Answer

140

Question 14

If you draw two cards from a deck without replacement, what is the probability both are aces?

Accepted Answer

$$\frac{4}{52} 	imes \frac{3}{51}$$

Question 15

Which of the following is the correct formula for the combination of $$n$$ objects taken $$r at a $$time?

Accepted Answer

$$\frac{n!}{r!(n-r)!}$$

Probability Concepts and Applications – Chapter 5 Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards