A monkey is to demonstrate that she recognizes colors by tossing one red, one black, one white ball, one orange ball, and one purple ball into boxes of the same repsective colors, one ball to a box. If the monkey has not learned the colors and merely tosses one ball into each box at random, find the probabilities of the following results: a. There are no color matches. b. There is exactly one color match.
A monkey is to demonstrate that she recognizes colors
by tossing one red, one black, one white ball, one orange ball, and one purple ball into boxes of
the same repsective colors, one ball to a box. If the monkey has
not learned the colors and merely tosses one ball into each box
at random, find the probabilities of the following results:
a. There are no color matches.
b. There is exactly one color match.
There are 6 balls one of each color : Red(R), Black(B), White(W), Orange(O) and Purple(P) and 6 boxes of the respective colors.
That is there 6 balls of colours (R,B,W,O,P) and 6 boxes of colors(R,B.W,O,P)
The balls are tossed by a monkey into boxes (one ball in each box).
We have to find the probability that there is no color matches and there is exactly one match
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