Three coins are tossed simultaneously once, find the probability of g

1.	Three coins are tossed simultaneously once, find the probability of getting at least one tail isA) 7/8B) 3/8C) 1/8D) 5/8
Answer» Correct option is: A) \(\frac{7}{8}\) When three coins are tossed simultaneously once. Then total possible outcomes are {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} \(\therefore\) Total possible outcomes is n (S) = 8 Favourable outcomes to the even of getting at least one tail are {HHT, HTH, THH, HTT, THT, TTH, TTT} \(\therefore\) Total No of favourable outcomes = 7 \(\therefore\) Probability of getting at least one tail = \(\frac {Total \,No\, of \,favourable \,outcomes}{Total \,Possible \, outcomes}\) = \(\frac 78\) Hence, probability of getting at least one tail is \(\frac 78\) Correct option is: A) \(\frac{7}{8}\)

Three coins are tossed simultaneously once, find the probability of getting at least one tail isA) 7/8B) 3/8C) 1/8D) 5/8

Answer»

Correct option is: A) \(\frac{7}{8}\)

When three coins are tossed simultaneously once.

Then total possible outcomes are

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

\(\therefore\) Total possible outcomes is n (S) = 8

Favourable outcomes to the even of getting at least one tail are

{HHT, HTH, THH, HTT, THT, TTH, TTT}

\(\therefore\) Total No of favourable outcomes = 7

\(\therefore\) Probability of getting at least one tail

= \(\frac {Total \,No\, of \,favourable \,outcomes}{Total \,Possible \, outcomes}\)

= \(\frac 78\)

Hence, probability of getting at least one tail is \(\frac 78\)

Correct option is: A) \(\frac{7}{8}\)

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