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A game consists of tossing a one-rupee coin three times, and noting its outcomee each time. Find the probability of getting (i) three heads, (ii) at least 2 tails. Select the correct answer from above options

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Correct Answer - (i) 1 8 (ii) 1 2 When a coin is tossed 3 times, all possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. Number of all possible outcomes = 8. (i) P(getting 3 heads) = 1 8 . (ii) At least 2 tails means 2 or 3 tails. All such cases are HTT, THT, TTH,TTT. Their number is 4. ∴ P(getting at least 2 tails) = 4 8 = 1 2 .

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