What is the probability of getting a sum of 7 on two rolls of a die?

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Question

What is the probability of getting a sum of 7 on two rolls of a die?

Options:

A . 712

B . 111

C . 16

D . 23

Answer: Option C
:
C
The total possible outcomes when a die is rolled twice are:

\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 1 & 1, 1 & 1, 2 & 1, 3 & 1, 4 & 1, 5 & 1, 6 2 & 2, 1 & 2, 2 & 2, 3 & 2, 4 & 2, 5 & 2, 6 3 & 3, 1 & 3, 2 & 3, 3 & 3, 4 & 3, 5 & 3, 6 4 & 4, 1 & 4, 2 & 4, 3 & 4, 4 & 4, 5 & 4, 6 5 & 5, 1 & 5, 2 & 5, 3 & 5, 4 & 5, 5 & 5, 6 6 & 6, 1 & 6, 2 & 6, 3 & 6, 4 & 6, 5 & 6, 6 \end{matrix}

Total number of outcomes = 36
Number of ways to get sum as 7= {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}
= 6

P (getting sum as 7) = \frac{Favourable outcomes}{Total possible outcomes}

= \frac{O u t c o m e h a v i n g s a m e n u m b e r s}{T o t a l O u t c o m e s}

= \frac{6}{36}

=

\frac{1}{6}

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