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If three pens are randomly selected from the following basket of pens, without replacement, find the probability that:

(a) All three pens are blue.

(b) None of the pens are blue.

(c) At least one of the pens is black.

Answer :

If three pens are randomly selected from the following basket of pens, without replacement, the probability that all three pens are blue is 0.027, none of the pens are blue is 0.343, and at least one of the pens is black is 0.657.

The probability of selecting three blue pens without replacement from the basket of pens is:

P(all 3 blue) = (Number of blue pens / Total number of pens)³

= (3 / 10)³

= 0.027

The probability of selecting three pens that are not blue without replacement from the basket of pens is:

P(none blue) = (Number of pens that are not blue / Total number of pens)3

= (7 / 10)³

= 0.343

The probability of selecting at least one black pen without replacement from the basket of pens is:

P(at least one black) = 1 - (Number of pens that are not black / Total number of pens)3

= 1 - (7 / 10)³

= 0.657

Learn more about probability at https://brainly.com/question/15584918

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