In the toss of a coin thrice find the probabili... - SS2 Mathematics Probability Question
In the toss of a coin thrice, find the probability of three tails appearing.
A
\(\frac{3}{2}\)
B
\(\frac{2}{3}\)
C
\(\frac{1}{8}\)
D
\(\frac{3}{4}\)
correct option: c
\(probability\ of\ 3\ tails,\ P(TTT) = P(tail\ in\ 1st\ toss) + P(tail\ in\ 2nd\ toss) + P(tail\ in\ 3rd\ toss)\) (independent events)
\(P(TTT) = P(A \cap B \cap C) = P(A)P(B)P(C) = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2}) = \frac{1}{8}\)
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