Exercises using Basic Probability

Please select the appropriate answer for all 7 questions and then click the submit exam for grading button at the end of the page.

Question 1. A single die is tossed. What is the probability of a 2 turning up
(a) The answer is 1/6
(b) The answer is 2/6
(c) The answer is 0
(d) The answer is 1
Question 2. Two cards are drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that they are both aces if the first card is replaced?
(a) The answer is 4/52
(b) The answer is 16
(c) The answer is (4x4)/(52x52)
(d) The answer is (52x52)/(4x4)
Question 3. Two cards are drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that they are both aces if the first card is not replaced?
(a) The answer is 3/52
(b) The answer is (4x3)/(52x52)
(c) The answer is 4/(52x52)
(d) The answer is (4x3)/(52x51)
Question 4. A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue balls. What is the probability that it is red?
(a) The answer is 2/5
(b) The answer is 2
(c) The answer is 5
(d) The answer is 5/2
Question 5. In Question 4 above determine the probability that the ball is not red?
(a) The answer is 5
(b) The answer is 8
(c) The answer is 3/5
(d) The answer is 5/3
Question 6. Find the probability of a 4 turning up at least once in two tosses of a fair die
(a) The answer is 1
(b) The answer is 1/36
(c) The answer is 11
(d) The answer is 11/36
Question 7. One bag contains 4 white balls and 2 black balls; another contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability that both are white.
(a) The answer is 1/4
(b) The answer is 1/36
(c) The answer is 11/4
(d) The answer is 36