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6.
The distribution of colors of candies in a bag is as follows.
Brown
Red
Yellow
Green
Color
Proportion
Orange
0.1
0.3
0.2
0.2
0.2
If two candies are randomly drawn from the bag with replacement, what is the probability that they are
the same color?
(A) 0.09
(B) 0.22
(C) 0.25
(D) 0.75
(E) 0.78

Respuesta :

Answer:

.22

Step-by-step explanation:

I got .22 by squaring each probability and adding them up

Answer:

The probability that both candies are same color is [tex]0.22[/tex]

Step-by-step explanation:

Find the probability for both candies are Orange.

[tex]0.1\times0.1=0.01[/tex]

Find the probability for both candies are Brown.

[tex]0.3\times0.3=0.09[/tex]

Find the probability for both candies are Yellow.

[tex]0.2\times0.2=0.04[/tex]

Find the probability for both candies are Green.

[tex]0.2\times0.2=0.04[/tex]

Find the probability for both candies are Red.

[tex]0.2\times0.2=0.04[/tex]

Now, add all the probability.

[tex]=0.09+0.04+0.04+0.04+0.01 = 0.22[/tex]

Learn more about probability here:

https://brainly.com/question/13604758

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