two boxes contain the following pieces of chalk of the same size. 2 red, 1 yellow, 4 green, 3 white, and 2 blue pieces. If one piece of chalk will be randomly selected from each box, what is the probability that both pieces will be white? A.) 1/16 B.) 1/22 C.) 1/4 D.) 1/36​

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Answer:

1/4 would be your answer

Step-by-step explanation:

There are four other pieces (I think)

Answer:

Option A.  [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Two boxes contains the following pieces of chalk of the same size.

Red = 2

Yellow = 1

Green = 4

White = 3

Blue = 2

Each box contains = 2 + 1 + 4 + 3 + 2  = 12 pieces of chalk of the same size.

There are total pieces of chalks are 12 and white chalks are 3 in each box.

If one piece of chalk will be randomly selected from each box.

The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]

The probability of second box =  [tex]P_{2}=\frac{3}{12}[/tex]

Therefore,  P =  [tex]p_{1}[/tex] × [tex]p_{2}[/tex]

                   P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]

                   P = [tex]\frac{1}{4}[/tex] ×  [tex]\frac{1}{4}[/tex]

                   P = [tex]\frac{1}{16}[/tex]

The probability that both pieces will be white is  [tex]\frac{1}{16}[/tex] .

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