Question

Expected number of throws to get consecutive 6 different numbers on a dice

Answer 1

Answer:

....Hope it helps buddy...

Step-by-step explanation:

S=36

Probability = 6/36 = 1/6

Answer 2

14.7 rolls

Step-by-step explanation:

• You need one roll to see the first face.
• After that, the probability of rolling a different number is 5/6. Therefore, on average, you expect the second face after 6/5 rolls.
• After that value appears, the probability of rolling a new face is 4/6, and therefore you expect the third face after 6/4 rolls.
• Continuing this process leads to the conclusion that the expected number of rolls before all six faces appear is

 6/6 + 6/5 + 6/4 + 6/3 + 6/2 + 6/1 = 14.7 rolls.