A dice is rolled three times, the probability of getting a l... | MATH - USE OF PERMUTATIONS AND COMBINATIONS IN PROBABILITY | SolveeIt | Solveeit

Today, August 24

Question

A dice is rolled three times, the probability of getting a large number than the previous number each time is

A

$\frac { 13 } { 216 }$

B

$\frac { 1 } { 18 }$

C

$\frac { 5 } { 54 }$

D

$\frac { 15 } { 216 }$

Answer

$\frac { 5 } { 54 }$

Explanation

Solution

We have to made three digit number using 1, 2, 3, 4, 5, 6 in which each number left to it greater.

= ⁶C₃ × 1 = 20

Total = 216, P = $\frac { 20 } { 216 }$ = $\frac { 5 } { 54 }$