The probability of rolling a 2 on a die is 1/6. Does that mean that if you roll a die 6 times, then exactly one 2 will appear? Explain!

Question

The probability of rolling a 2 on a die is 1/6. Does that mean that if you roll a die 6 times, then exactly one 2 will appear? Explain!

Answer 1

Each roll of a fair six sided die is an independent event.

Every time you roll it, you have a 1 out of 6 chance of

rolling a 2.  There is no guarantee of getting a 2 one time

out of six rolls.. You may get no 2's, a single 2, or more.

 

Each of the 6 numbers have the same equal 1 out of 6

chance of coming up on any single roll.