This one is simple if you think about it . . .1. A die is rolled five times.
Find the probability that the sequence is increasing (ex. 12345, 12346, 23456, etc.)
Of the possible outcomes,
. . only five are in increasing order: .
The Pair can be any of the 6 values.2. A die is rolled five times.
Find the probability that the sequence contains exactly one pair: (11234, 22314, etc.)
The Pair can show up in any two of the five rolls: . ways.
The probability that two rolls have that Pair is: .
The other three rolls must not match the Pair or each other: .