Probability Practice Test Question Answers (Sample Worksheet PDF)

The situation that may or may not happen, have a chance of happening. The probability of an event that is certain to happen is ‘1’. The probability of an event that is impossible to happen is ‘0’.

1. The probability of getting a number greater than 2 on throwing a die once is

🔘 A. ¼

🔘 B. ½

🔘 C. ¾

🔘 D. 2/3

🔘 E. 1

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Answer: 2/3

2. The cards bearing letters of the word “MATHEMATICS” are placed in a bag. A card is taken out from the bag without looking into the bag (at random).

(a) How many outcomes are possible when a letter is taken out of the bag at random?

🔘 A. 8

🔘 B. 9

🔘 C. 10

🔘 D. 11

🔘 E. 12

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Answer: D 11 (There are 11 outcomes namely M, M, A, A, T, T, H, E, I, C, S.

2 (b). What is the probability of getting M?

🔘 A. 2/3

🔘 B. 4/9

🔘 C. 6/10

🔘 D. 2/10

🔘 E. 2/11

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Answer: E 2/11

2. (c) What is the probability of getting Any vowel?

🔘 A. 4/10

🔘 B. 3/11

🔘 C. 2/10

🔘 D. 4/11

🔘 E. 5/10

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Answer: D 4/11

2. (d). What is the probability of getting Any consonant?

🔘 A. 5/11

🔘 B. 6/11

🔘 C. 7/11

🔘 D. 8/11

🔘 E. 9/11

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Answer: C 7/11

6. There are 2 aces in each of the given set of cards placed face down. From which set are you certain to pick the two aces in the first go?

🔘 A.

🔘 B.

🔘 C.

🔘 D.

🔘 E.

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Answer: C (From third set: we are certain to pick the two aces in the first go because it has only 2 cards and it is given that every set has 2 aces. )

7. In the previous question, what is the probability of picking up an ace from set (d)?

🔘 A. 2/6

🔘 B. 3/6

🔘 C. 4/6

🔘 D. 5/6

🔘 E. 1/2

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Answer: A 2/6 (formula of Simple interest I = (P × R × T)/100)

8. In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?

🔘 A. 10%

🔘 B. 20%

🔘 C. 30%

🔘 D. 40%

🔘 E. 50%

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Answer: D40% (Hints Total number of outcomes =Total number of students and Number of possible outcomes = Students participating in quiz = 2 )

9. Some integers are marked on a board. What is the range of these integers?

🔘 A. 8

🔘 B. 9

🔘 C. 17

🔘 D. 21

🔘 E. 37

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Answer: E 37 (Here, highest observation = + 20 and lowest observation -17
As we know: Range = Highest observation Lowest observation = + 20 + 17 = 37

10. Ema earned scores of 97, 73 and 88 respectively in her first three semesters. If she scored 80 in the fourth semester, then her average score will be

🔘 A. increased by 1

🔘 B. increased by 1.5

🔘 C. decreased by 1

🔘 D. decreased by 1.5

🔘 E. neither increased nor decreased

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Answer:D decreased by 1.5 (Avg Score= (Sum of Score in all Exam ÷ total no. of exam))

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