7 dice tossed Find the probability that every possible numbe

7 dice tossed. Find the probability that every possible number will appear. Describe the sample space.

Solution

Sample space

(1,1,1,1,1,1,1) (1,1,1,1,1,1,2)........

...

(6,6,6,6,6,6,1).......(6,6,6,6,6,6,6)

Totally there are 6^7 events

each having a probability of 1/6^7