In a simultaneous throw of a pair of dice, what is the probability of getting a sum less than 7?

# In a simultaneous throw of a pair of dice, what is the probability of getting a sum less than 7?

1. A
$\frac{5}{12}$
2. B
$\frac{1}{12}$
3. C
1
4. D
0

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### Solution:

It is given that pair of dice is thrown.
When a pair of dice is thrown, we get,
Sample space (S),
Total number of outcomes = 36.
Let A be the event of getting pairs whose sum is less than 7.
Number of favorable cases = Number of pairs having sum less than 7

Then,
$P\left(A\right)=\frac{\mathit{Number of favorable case}}{\mathit{Total number of case}}$
$=\frac{15}{36}$
$=\frac{5}{12}$
Thus, the probability of getting pairs whose sum is less than 7 is $\frac{5}{12}$.
Therefore, option 1 is correct.

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