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Question 20 ASSERTION (A): Two coins are tossed simultaneously. Possible outcomes are two heads, one head and one tail, two tails. Hence, the probability of getting two heads is 1/3 . REASON (R): Probabilities of ‘equally likely’ outcomes of an experiment are always equal. (A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (C) Assertion (A) is true but reason (R) is false. (D) Assertion (A) is false but reason (R) is true.Checking Assertion Two coins are tossed simultaneously. Possible outcomes are two heads, one head and one tail, two tails. Hence, the probability of getting two heads is 1/3 . When two coins are tossed Possible outcomes = HH, HT, TH, TT So, Probability of getting 2 heads = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑠𝑒𝑠 𝑤ℎ𝑒𝑟𝑒 2 ℎ𝑒𝑎𝑑𝑠 𝑜𝑐𝑐𝑢𝑟)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑠𝑒𝑠) = 𝟏/𝟒 Since it is not 1/3 Thus, Assertion is false Since Assertion is false, we do not need to check Reasoning since option (d) is only possible So, Assertion is false Reasoning is true So, the correct answer is (d)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo