Question

roll the die twice. what is the probability of rolling a 6 on the 1st roll? an odd number on the 2nd roll?

Answer 1

The probability of rolling a 6 on the 1st roll is
`(1)/(6)`, since there is only 1 out of 6 sides of the dice that has six pips.

The probability of rolling an odd number is
`(1)/(2)`, since there are 3 out of 6 sides of the dice that has an odd number of pips.
`(3)/(6) = (1)/(2)`

Then the probablity of both events happening one after another is
`(1)/(12)`. You have to multiply both probabilities of the events:
`(1)/(6) * (1)/(2) = (1)/(12)`