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Question

Mathematics Question on Axiomatic Approach to Probability

A coin is tossed twice, what is the probability that atleast one tail occurs?

Answer

When a coin is tossed twice, the sample space is given by
S = {HH, HT, TH, TT}
Let A be the event of the occurrence of at least one tail.
Accordingly, A = {HT, TH, TT}
P(A)=Number of outcomes favourable to ATotal number of possible outcomes∴P(A)=\frac{\text{Number of outcomes favourable to A}}{\text{Total number of possible outcomes}}
=n(A)n(S)=\frac{n(A)}{n(S)}
=34=\frac{3}{4}