10th Class Mathematics Probability Question Bank MCQs - Probability

In a throw of a pair of dice, what is the probability a getting a doublet?

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

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

C) \[\frac{5}{12}\]

D) \[\frac{2}{3}\]

Correct Answer: B

Solution :

[b] Total number of outcomes = 36

Let E be the event 'doublet.'

So, outcomes favourable to E are

\[\{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)\}\]i.e.. 6 in number.

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,P(E)=\frac{6}{36}=\frac{1}{6}\]