Maths · Statistics and probability · chapter 14 of 14
Class 10 Maths Chapter 14: Probability Assertion-reason questions with answers
2 assertion-reason questions on Probability, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.
Question 1
Assertion (A): The probability of getting 9 in a single throw of a die is 0. Reason (R): An event that cannot occur has probability 0.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.
A die has faces 1 to 6, so 9 has no favourable outcome and P = 0/6 = 0. R is the rule that explains it.
Question 2
Assertion (A): A die is thrown once; the probability of getting a number greater than 4 is 12. Reason (R): A die has six equally likely faces.
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Answer: (d) A is false, but R is true.
R is true: the six faces are equally likely. A is false: the numbers greater than 4 are 5 and 6, so P = 2/6 = 1/3, not 1/2.