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Two coins are tossed simultaneously 500 times and the outcomes are noted as given below: Outcome: Two heads (HH) One head (HT or TH) No head (TT) Frequency: 105 275 120 If same pair of coins is tossed at random, find the probability of getting: (i) Two heads (ii) One head (iii) No head. Select the correct answer from above options

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Given number of trials = 500 From the given table it is clear that, Number of outcomes of two heads (HH) = 105 Number of outcomes of one head (HT or TH) = 275 Number of outcomes of no head (TT) = 120 (i) Probability of getting two heads = frequency of getting 2 heads/ total number of trials = 105/500 = 21/100 (ii) Probability of getting one head = frequency of getting 1 heads/ total number of trials = 275/500 = 11/20 (iii) Probability of getting no head = frequency of getting no heads/ total number of trials = 120/500 = 6/25

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