Hello, jimpo2!

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,

. . onlyfiveare in increasing order: .

Therefore: .

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: .

Therefore: .