Mathman said:Now, I said I wasn't going to do this any more, but you made me do it. Asuuming that no one knows anything and we are just guessing, the probability that the first three contestants will get exactly five right is...
[(10!/5!5!)(.25)^5(.75)^5]^3 = .0002.
But of course we do know some little bit of something about something, so the probability is really more like
[(10!/5!5!)(.50)^10]^3 = .0149