Question: Two dices are thrown simultaneously. What is the probability of obtaining a total score of seven?
Options:
A) $ \frac{1}{6} $
B) $ \frac{1}{3} $
C) $ \frac{1}{4} $
D) $ \frac{2}{3} $
Show Answer
Answer:
Correct Answer: A
Solution:
- Total score of seven can be obtained, when the two dice on rolling simultaneously shows the result $ (1,6), $ $ (2,5), $ $ (3,4), $ $ (4,3), $ $ (5,2) $ and $ (6,1) $
$ \therefore $ $ n(E)=6 $
Total number of possible outcomes are
$ =6\times 6=36=n(S) $
$ P(A)=\frac{n(E)}{n(S)}=\frac{6}{36}=\frac{1}{6} $