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Three unbiased coins are tossed once. Find the probability of getting at most 2 tails or at least 2 heads

Answer : We know that,

Probability of occurrence of an event


Let T be tails and H be heads

Total possible outcomes = TTT, TTH, THT, HTT, THH, HTH, HHT, HHH

Desired outcomes are at least two heads or at most two tails. So, desired outputs are TTH, THT, HTT, THH, HTH, HHT, HHH

Total no.of outcomes are 8 and desired outcomes are 7

Probability of getting at most 2 tails or at least 2 heads

Conclusion: Probability of getting at least two heads or at most two tails is 7/8