Probability Practice Test 2

Question : 31 of 37

Marks: +1, -0

Varun throws two unbiased dice together andgets a sum of 7. If his friend Tarun thenthrows the same two dices, what is theprobability that the sum is less than 7?

$1/6$
$7/12$
$1/2$
$5/12$

Validate

Solution:

Probability that Varun gets a sum of 7 = P(A)

=6/36=1/6

Probability that Tarun gets a sum less than 7 = P(B)

=15/36=5/12

Now

P(B/A)={P(A ⋂B)}/{P(A)}={P(A)P(B)}/{P(A)}

=P(B)=5/12

(∵A and B are independent)

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