Latest MBA Aptitude Question SOLUTION: A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four isOptions:1. 2/52. 1/53. 1/64. None of these

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(#M40015085) MBA question permutations and combinations, probability Keep an EYE

A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four isOptions:1. 2/52. 1/53. 1/64. None of these

1) 1
2) 2
3) 3
4) 4

Asked In MBA (12 years ago)

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sai  (8 years ago)

There are 3 positions to be filled.
____+ ____ +____ = 15

The possible combinations are
Case 1: (6 6 3)
(6 3 6)
(3 6 6) total 3 combinations

Case 2: (4 5 6)
(4 6 5)
(5 6 4)
(5 4 6)
(6 5 4)
(6 4 5) total 6 combinations

Case 3: (5 5 5) only 1 combination

So probability is possible/total

Possible is 2 because, the question says that uppermost face should show 4, and in case 2 only the 4 appears twice as the uppermost face so it will be 2

Total possibilities would be 6 + 3+ 1 = 10

so probability is 2/10 or 1/5

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