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There are two die A and B both having si...

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then
P(E) is maximum when x equal to

A

`5//9`

B

`6//7`

C

`7//18`

D

`8//19`

Text Solution

Verified by Experts

The correct Answer is:
C
The number of ways in which different sums can occurs is (3 + 2 + 1)(1 + 2 + 3) = 36. The probability of 4 is `14//36 = 7//18`.
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