| Coverage : The GMAT Practice Test - Math - Probability has been designed to test the important concepts related to probability. The test covers important topics like determining probability of any event, probability of getting a head or tail while tossing a coin/(s), probability of winning a lottery, probability of getting a particular card when drawn etc. |
| 1. | The probabilty of getting "6" in a single throw of a perfect dice is: |
| a. | | 1 |
| b. | | 1/6 |
| c. | | 1/3 |
| d. | | 1/4
|
| |
| 2. | The probability of getting an even number in a single throw of a perfect dice is: |
| a. | | 1/4 |
| b. | | 1/2 |
| c. | | 2/5 |
| d. | | 2/3
|
| |
| 3. | Find the probability of getting one and only one head, in a single toss of 4 coins? |
| a. | | 1/2 |
| b. | | 1/3 |
| c. | | 1/4 |
| d. | | 1/6
|
| |
| 4. | What is the probability of a number being divisible by 2 and 5? |
| a. | | 1/10 |
| b. | | 1/2 |
| c. | | 1/5 |
| d. | | 1/12
|
| |
| 5. | An unbiased dice is thrown. What is the probability of getting a multiple of 3. |
| a. | | 1/2 |
| b. | | 1/3 |
| c. | | 2/3 |
| d. | | 3/2
|
| |
| 6. | When an unbiased dice is thrown, what is the probability of getting an even number or a
multiple of 3. |
| a. | | 1/2 |
| b. | | 1/3 |
| c. | | 2/3 |
| d. | | 3/2
|
| |
| 7. | When an unbiased dice is thrown, what is the probability of getting an even number and a multiple of 3. |
| a. | | 1/6 |
| b. | | 1/3 |
| c. | | 2/3 |
| d. | | 1/4
|
| |
| 8. | Two unbiased coins are tossed simultaneously. Find the probability of getting two heads. |
| a. | | 1/2 |
| b. | | 1/4 |
| c. | | 1/3 |
| d. | | None of the above
|
| |
| 9. | Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head. |
| a. | | 1/4 |
| b. | | 2/3 |
| c. | | 3/4 |
| d. | | 1/3
|
| |
| 10. | Two unbiased coins are tossed simultaneously. Find the probability of getting at the most one head. |
| a. | | 1/4 |
| b. | | 2/3 |
| c. | | 3/4 |
| d. | | 1/3
|
| |
| 11. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting an even number as the sum. |
| a. | | 1/2 |
| b. | | 11/3 |
| c. | | 1/3 |
| d. | | 2/3
|
| |
| 12. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting a prime number as the sum. |
| a. | | 1/24 |
| b. | | 5/6 |
| c. | | 5/12 |
| d. | | 3/4
|
| |
| 13. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting a total of at least 10. |
| a. | | 3/5 |
| b. | | 1/2 |
| c. | | 1/8 |
| d. | | 1/6
|
| |
| 14. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting a double of even number. |
| a. | | 1/6 |
| b. | | 1/12 |
| c. | | 1/3 |
| d. | | 1/4
|
| |
| 15. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting a multiple of 2 on one dice and a multiple of 3 on the other. |
| a. | | 11/36 |
| b. | | 13/36 |
| c. | | 5/12 |
| d. | | 7/12
|
| |
| 16. | Two unbiased dice are thrown simultaneously. Find the probabilty of getting a multiple of 3 as the sum. |
| a. | | 1/2 |
| b. | | 1/3 |
| c. | | 1/4 |
| d. | | 1/5
|
| |
| 17. | Find the probability that a leap year selected at random will contain 53 Sundays. |
| a. | | 1/7 |
| b. | | 3/7 |
| c. | | 4/7 |
| d. | | 2/7
|
| |
| 18. | One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is an Ace. |
| a. | | 4/13 |
| b. | | 1/13 |
| c. | | 1/52 |
| d. | | 5/52
|
| |
| 19. | One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is of red color. |
| a. | | 2/3 |
| b. | | 1/3 |
| c. | | 1/2 |
| d. | | 1/4
|
| |
| 20. | One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is either red or king. |
| a. | | 1/13 |
| b. | | 5/13 |
| c. | | 11/13 |
| d. | | 7/13
|
| |
| 21. | One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is red and a king. |
| a. | | 1/26 |
| b. | | 5/26 |
| c. | | 7/26 |
| d. | | 3/26
|
| |
| 22. | Three unbiased coins are tossed together. Find the probability of getting all heads. |
| a. | | 1/4 |
| b. | | 2/3 |
| c. | | 1/3 |
| d. | | 1/8
|
| |
| 23. | Three unbiased coins are tossed together. Find the probability of getting two heads. |
| a. | | 3/8 |
| b. | | 1/8 |
| c. | | 1/4 |
| d. | | 2/3
|
| |
| 24. | Three unbiased coins are tossed together. Find the probability of getting one head. |
| a. | | 1/8 |
| b. | | 3/8 |
| c. | | 1/4 |
| d. | | 2/3
|
| |
| 25. | Three unbiased coins are tossed together. Find the probability of getting at least two heads. |
| a. | | 1/4 |
| b. | | 1/3 |
| c. | | 1/2 |
| d. | | 3/8
|
| |
| 26. | What is the probability that an ordinary year has 53 Sundays? |
| a. | | 1/7 |
| b. | | 2/7 |
| c. | | 3/7 |
| d. | | 4/7
|
| |
| 27. | What is the probability that a leap year has 53 Sundays and 53 Mondays? |
| a. | | 1/7 |
| b. | | 2/7 |
| c. | | 3/7 |
| d. | | 4/7
|
| |
| 28. | In a lottery of 50 tickets numbered 1 to 50, one ticket is drawn. Find the probability that the drawn ticket bears a prime number. |
| a. | | 1/50 |
| b. | | 18/50 |
| c. | | 13/50 |
| d. | | 3/10
|
| |
| 29. | An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability that the ball drawn is white. |
| a. | | 1/10 |
| b. | | 1/18 |
| c. | | 4/9 |
| d. | | 1/8
|
| |
| 30. | A bag contains 9 red, 7 white and 4 black balls. One ball is drawn at random. Find the probability that the ball drawn is white or black. |
| a. | | 11/20 |
| b. | | 7/100 |
| c. | | 7/50 |
| d. | | 11/50
|
| |
| 31. | Two movies "X" and "Y" are displayed at a multiplex.The probability of X's hit is 1/3 and that of Y's flop is 4/5. Find the probability that only one of them will be a hit. |
| a. | | 1/5 |
| b. | | 2/5 |
| c. | | 3/5 |
| d. | | 4/5
|
| |
| 32. | A bag contains 19 lottery tickets with numbers 1 to 19. One ticket is drawn followed by another without replacement. Find the probability that both the tickets show an even number. |
| a. | | 8/19 |
| b. | | 9/19 |
| c. | | 7/19 |
| d. | | 4/19
|
| |
| 33. | In a class of 80 students, 25 are girls and rest are boys.10 of them are intelligent, the remaining are average, and 20 of them are good dancers. What is the probability of selecting an intelligent good dancer girl? |
| a. | | 1/640 |
| b. | | 1/80 |
| c. | | 1/160 |
| d. | | 1/250
|
| |
| 34. | Two dice are thrown twice, find the probability of getting a total of 8, each time. |
| a. | | 1/36 |
| b. | | 5/36 |
| c. | | 7/36 |
| d. | | 1/18
|
| |
| 35. | Two dice are thrown. Getting two numbers whose sum is divisible by 5 or 6 is considered a success. Find the probability of success. |
| a. | | 11/36 |
| b. | | 7/36 |
| c. | | 13/36 |
| d. | | 1/18
|
| |
| 36. | From a pack of 52 cards, two cards are drawn at random. What is the probability that one of them is jack and the other one is knave? |
| a. | | 1/663 |
| b. | | 2/663 |
| c. | | 4/663 |
| d. | | 8/663
|
| |
| 37. | In a lottery of 40 tickets numbered 1 to 40, one ticket is drawn. Find the probability that the drawn ticket is a multiple of 4 or 5. |
| a. | | 1/5 |
| b. | | 2/5 |
| c. | | 3/5 |
| d. | | 4/5
|
| |
| 38. | A bag contains 20 tickets, marked 1 to 20. A ticket is drawn and replaced. Then another ticket is drawn. What is the probability that the first number is even and the second is odd? |
| a. | | 1/2 |
| b. | | 1/4 |
| c. | | 2/3 |
| d. | | 2/5
|
| |
| 39. | If all the alphabets from the word 'Bilston' are placed at random in a row. What are the chances that the vowels come together? |
| a. | | 2/7 |
| b. | | 1/7 |
| c. | | 4/7 |
| d. | | 3/7
|
| |
| 40. | A pair of dice is thrown twice. With the first throw the dice yeilds a total of 9. Find the probability that the total comes out to be more than 9 in second throw. |
| a. | | 1/4 |
| b. | | 1/5 |
| c. | | 1/6 |
| d. | | 2/7
|
| |
| 41. | Find the probability of throwing at least one 4 in a single throw of two dice. |
| a. | | 10/36 |
| b. | | 7/36 |
| c. | | 5/36 |
| d. | | 11/36
|
| |
| 42. | A coin is tossed four times. What is the probability of getting a tail at least once? |
| a. | | 15/16 |
| b. | | 13/16 |
| c. | | 9/16 |
| d. | | 11/36
|
| |
| 43. | A GRE's quant question is given to 3 students who have 1/3, 1/4 and 1/2 chances of solving it. What are the chances that the problem will be solved? |
| a. | | 1/4 |
| b. | | 3/4 |
| c. | | 2/3 |
| d. | | None of the above
|
| |
| 44. | What is the probability of getting 1, 3, 5, and 6 respectively from 4 dice, thrown simultaneously. |
| a. | | 1/1296 |
| b. | | 5/1296 |
| c. | | 1/4 |
| d. | | 3/4
|
| |
| 45. | Find the probability of getting a sum of 17 or 18, in a single throw of three dice? |
| a. | | 1/216 |
| b. | | 1/3 |
| c. | | 1/103 |
| d. | | 1/54
|
| |
| 46. | A bag contains 5 green, 6 yellow and 7 blue balls. Find the probability that three balls drawn are all yellow. |
| a. | | 1/204 |
| b. | | 1/68 |
| c. | | 5/204 |
| d. | | 5/68
|
| |
| 47. | A lottery ticket has to be chosen from 20 tickets with numbers 1 to 20. Find the probability that it is prime. |
| a. | | 1/5 |
| b. | | 2/5 |
| c. | | 3/5 |
| d. | | 4/5
|
| |
| 48. | If A and B are mutually exclusive events, and P(A) = 0.63 and P(B) = 0.24, then find P( A' U B' ) = . |
| a. | | 0.13 |
| b. | | 2.13 |
| c. | | 3.13 |
| d. | | 1.13
|
| |
| 49. | If 4 coins are tossed for once, what is the probability of getting at most one head? |
| a. | | 1/16 |
| b. | | 5/16 |
| c. | | 1/8 |
| d. | | 5/8
|
| |
| 50. | What is the probability of a natural number being divisible by 5 or 9? |
| a. | | 11/45 |
| b. | | 12/45 |
| c. | | 13/45 |
| d. | | 14/45
|
| |
