Flopping Full House question

[Buzz]

Hi thisnamedoesntfi - [ QUOTE ]
That's about in line with the odds of villain having a 5 in his hand 45/1.

[/ QUOTE ]No. And you can do this one in your head.

The probability of one opponent having a five is 1- 41/45 or 4/45, making the odds against it 41 to 4.

The 41/45 results from a cancellation of terms. The whole expression is really
1-C(44,4)/C(45,4) and that immediately reduces to 1-41/45.

See it?

Buzz