10th Class Mathematics Probability Question Bank MCQs - Probability

Two dice are thrown. What is the probability that the sum of the numbers appearing on the dice is 7?

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

B) \[\frac{4}{9}\]

C) \[\frac{5}{36}\]

D) \[\frac{7}{36}\]

Correct Answer: A

Solution :

[a] Total number of possible outcomes =36

Let E be the event that the sum of the numbers appearing on the dice is 7.

So, favourable outcomes to E are

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

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