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JEE Main 20249 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Probability

JEE Main 2024 · 9 April · Evening Shift · Mathematics · Probability

If an unbiased dice is rolled thrice, then the probability of...

If an unbiased dice is rolled thrice, then the probability of getting a greater number in the ith i^{\text{th }} roll than the number obtained in the (i−1)th (i-1)^{\text{th }} roll, i=2,3i=2,3, is equal to

Options

  1. A3/543 / 54
  2. B2/542 / 54
  3. C1/541 / 54
  4. D5/545 / 54

Correct answer

D. 5/545 / 54

Step-by-step solution

Favourable cases =6={ }^6C3\mathrm{C}_3TotaloutcomesTotal out comes=6^3ProbabilityofgettinggreaternumberthanpreviousProbability of getting greater number than previousone =\text{one }=\frac{{ }^6 \mathrm{C}_3}{\mathrm{r}^3}=20216=554\frac{20}{216}=\frac{5}{54}
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