Question

9) a fair six-sided die is rolled 6 times. What is the probability of getting all outcomes as unique?

Answer 1

Answer:

5 / 324

Step-by-step explanation:

The sample space of all possible outcomes has 6⁶ outcomes, as each of the 6 rolls has 6 possible results.

The favourable outcomes are the 6! permutations of {1, 2, 3, 4, 5, 6}.

So...

P(6 different values)

= 6! / 6⁶

= 5! / 6⁵

= ( 4×5 ) / 6⁴

= 5 / ( 6² × 3² )

= 5 / 18²

= 5 / 324