10th Class Mathematics Probability Question Bank MCQs - Probability

Two coins are tossed simultaneously. The probability of getting at most one tail is:

A) \[\frac{3}{4}\]

B) \[\frac{1}{3}\]

C) \[\frac{1}{9}\]

D) \[\frac{1}{6}\]

Correct Answer: A

Solution :

[a] Total possible outcomes are

\[\{TT,TH,HT,HH\}\]i.e., 4 in number.

Favourable outcomes for at most one tail i.e., either 1 tail or no tail are \[\{TH,HT,HH\}\] i.e.. 3 in number.

\[\therefore \] Required probability \[=\frac{3}{4}\]