Mark has pairs of pants in three different colors, blue, black, and brown. he has 5 colored shirts: a white, a red, a yellow, a blue, and a mixed-colored shirt. what is the probability that mark wears a black pairs of pants and a red shirt on a given day

This problem involves *Probability of Independent Events* – these are events in which the probability of any one event occurring is not affected by the occurrence or non-occurrence of any of the other events. You will just multiply the probabilities of that two or more events.

So, using the given values

Black pants is 1 out of 3 = P(Black Pants) = [tex] \frac{1}{3} [/tex]

Red shirt is 1 out of 5 = P(Red Shirt) = [tex] \frac{1}{5} [/tex]

Now, multiply the two probabilities

[tex]( \frac{1}{3} )( \frac{1}{5} )= \frac{1}{15} [/tex]

Therefore, the probability that he would wear a black pants and a red shirt is **1/15** or **6.67%.**

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