Assume that if a perfectly balanced coin is tossed, there isequal chance to get

Question

Assume that if a perfectly balanced coin is tossed, there isequal chance to get a head (H) or a tail (T). Consider arandom experiment of throwing three perfectly balanced andidentical cins. Let S deonte the sample space. I think the elements of the sample space are: S= {HHH,HHT, HTH, HTT, THH, TTH, THT, TTT}. 1.) Find the probability that at least one of them landsheads. Assume that if a perfectly balanced coin is tossed, there isequal chance to get a head (H) or a tail (T). Consider arandom experiment of throwing three perfectly balanced andidentical cins. Let S deonte the sample space. I think the elements of the sample space are: S= {HHH,HHT, HTH, HTT, THH, TTH, THT, TTT}. 1.) Find the probability that at least one of them landsheads.

Explanation / Answer

1) To have at least one H, we must have HHH, HHT, HTH, HTT, THH,TTH or THT. That is, 7 possible outcomes out of 8. Therefore, prob = 7/8

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