Probability in Two Dice Rolls
XAT 2017 · Quantitative Ability & Data Interpretation · Easy · Probability
A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first?
- A.
5/36
- B.
8/36
- C.
15/36
- D.
21/36
- E.
None of the above
Answer
C
Explanation
Total outcomes when rolling twice = 36. Outcomes where first roll equals second roll = 6. Remaining outcomes where rolls are different = . By symmetry, in half of these 30 outcomes, the second roll is strictly greater than the first roll. So favorable outcomes = 15. Probability = .
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