Kerala SSLC · Mathematics · Class 10

Mathematics of Chance: Important Questions with Answers

These are 10 important multiple-choice questions from the Kerala SSLC Mathematics chapter “Mathematics of Chance” (Kerala SCERT syllabus). Each one shows the correct answer and a short explanation of why it is right. Try answering before you read the answer. ExamSummary has 17 practice questions on this chapter in total.

1. Q1.What is the range of values for the probability of any event?

   • A)0 to 1
   • B)-1 to 1
   • C)0 to 100
   • D)1 to 10

   Answer: A) 0 to 1

   The probability of an event always lies between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

2. Q2.A die is thrown once. What is the probability of getting a prime number?

   • A)1/2
   • B)1/3
   • C)2/3
   • D)1/6

   Answer: A) 1/2

   The prime numbers on a die are 2, 3, and 5, giving 3 favorable outcomes out of 6 total outcomes, which simplifies to 1/2.

3. Q3.If the probability of an event E occurring is 0.7, what is the probability of the event not occurring?

   • A)0.3
   • B)0.7
   • C)1.0
   • D)0.0

   Answer: A) 0.3

   The sum of the probability of an event happening and its complement is always 1, so P(not E) = 1 - 0.7 = 0.3.

4. Q4.One card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a King?

   • A)1/13
   • B)1/4
   • C)1/52
   • D)1/26

   Answer: A) 1/13

   There are 4 Kings in a standard deck of 52 cards, making the probability 4/52, which reduces to 1/13.

5. Q5.A bag contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability of drawing a blue ball?

   • A)2/5
   • B)3/5
   • C)1/2
   • D)2/3

   Answer: A) 2/5

   The total number of balls is 5, and there are 2 blue balls, so the probability is calculated as the number of favorable outcomes divided by total outcomes.

6. Q6.What is the probability of an impossible event?

   • A)1
   • B)0.5
   • C)0
   • D)Infinity

   Answer: C) 0

   An impossible event has no chance of occurring, so by definition, its probability is assigned the value 0.

7. Q7.Two coins are tossed simultaneously. What is the probability of getting exactly one head?

   • A)1/4
   • B)1/2
   • C)3/4
   • D)1

   Answer: B) 1/2

   The possible outcomes are HH, HT, TH, TT; exactly one head occurs in HT and TH, which are 2 out of 4 outcomes.

8. Q8.The sum of the probabilities of all elementary events in a random experiment is equal to:

   • A)0
   • B)1
   • C)Greater than 1
   • D)Less than 0

   Answer: B) 1

   Since one of the elementary events must occur in any trial, the sum of their individual probabilities is always 1.

9. Q9.If two events A and B are mutually exclusive, what is the probability of both occurring together, P(A ∩ B)?

   • A)1
   • B)P(A) + P(B)
   • C)0
   • D)P(A) × P(B)

   Answer: C) 0

   Mutually exclusive events cannot happen at the same time, meaning their intersection is empty, so the probability is 0.

10. Q10.When two dice are thrown together, what is the probability that the sum of the numbers on them is 7?

    • A)1/6
    • B)1/12
    • C)1/36
    • D)5/36

    Answer: A) 1/6

    There are 36 total outcomes when rolling two dice, and 6 combinations sum to 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).

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