At the start of a gameshow there are 10 contestants of which 6 are female. In each round of
the game, one contestant is eliminated. All of the contestants have the same chance of
progressing to the next round each time.
Given that the first contestant to be eliminated is male, find the probability that the next
two contestants to be eliminated are both female.
p(next to be female|male)=(next to be female n male)/(male)
The Attempt at a Solution
I did (4/10)*(6/9)*(5/8)
But when I checked the answer, it was (6/9)*(5/8).