The probability that both candies are of same color is 0.22
Probability:
Probability means possibility.The value is expressed from zero to one.In other words probability is simply how likely something is to happen.
The distribution of colors of candies in a bag is as follows.
Brown 0.1
Red 0.3
Yellow 0.2
Green 0.2
Orange 0.2
The probability for both candies are Orange.
= 0.2 x 0.2
= 0.04
The probability for both candies are Brown.
= 0.1 x 0.1
= 0.01
The probability for both candies are Yellow.
= 0.2 x 0.2
= 0.04
The probability for both candies are Green.
= 0.2 x 0.2
= 0.04
The probability for both candies are Red.
= 0.3 x 0.3
= 0.09
Now,
The total probability that they are the same color
= 0.04 + 0.01 + 0.04 + 0.04 + 0.09
= 0.22
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