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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