 # Probability Practice Questions: Level 02

1. What is the probability of getting at least one 3 in 2 throws of a dice?
1. 1/36
2. 5/36
3. 11/36
4. 35/36
2. The probability of A’s winning a game of chess against B is 2/3. What is the probability that A will win at least 1 of a total of two games?
1. 1/27
2. 19/27
3. 2/27
4. 8/9
3. What is the probability that a non-leap year will have 53 Mondays?
1. 52/53
2. 51/52
3. 1
4. None of these
Directions for questions 4 to 6: Read the following information and answer the questions that follow. The probability that A will pass the examination is 1/2 and the probability that B will pass the examination is 1/3.
1. What is the probability that both A and B will pass the examination?
1. 1/6
2. 1
3. 2/3
4. 1/3
2. What is the probability that only 1 person [either A or B] will pass the examination?
1. 1
2. 1/2
3. 1/3
4. 2/3
1. What is the probability that at least one person will pass the examination?
1. 1
2. 1/2
3. 1/3
4. 2/3
2. Three cards are drawn together from a pack of 52 cards at random. What is the probability that all the cards are Diamonds?
1. 4C3 / 2C3
2. 13C3 / 52C3
3. 26C3 / 52C3
4. 8C3 / 52C3
3. A bag contains 8 blue balls and 6 black balls. Three balls are drawn one by one with replacement. What is the probability that all the 3 balls are black?
1. 27 / 343
2. 1 / 343
3. 18 / 343
4. None of these
4. One bag contains 8 blue balls and 6 Green balls; another bag contains 7 blue balls and 5 green balls. If one ball is drawn from each bag, determine the probability that both are blue?
1. 1/2
2. 1/3
3. 1/4
4. 1/5
5. 1 ball is drawn at random from a box containing 4 red balls, 5 white balls and 6 blue balls, what is the probability that the ball is a red ball?
1. 1/7
2. 2/15
3. 4/15
4. 1/15