The game of chances!
Probability
Level
2
Three squares of a chess board being chosen at random,what is the chance that two are of one color and one of another?
The answer is 0.76.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The probability sought is the complement to the probability of choosing three of the same colour.
The probability of such is 1 ⋅ 3 1 / 6 3 ⋅ 3 0 / 6 3 , hence the answer is 1 − 1 ⋅ 3 1 / 6 3 ⋅ 3 0 / 6 3 = 0 . 7 5 3 9 6 8 2