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a drawer is filled with 2 black shirts , 7 white shirts, and 11 gray shirts. one shirt is chosen at random from the drawer. find the

Question

A drawer is filled with 2 black shirts , 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt. Write your answer as a fraction in simplest form. square

Solution

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Quitéria Mestre · Tutor por 5 anos

Resposta

To find the probability that a shirt chosen at random from the drawer is not a black shirt, we first need to determine the total number of shirts and the number of shirts that are not black.The total number of shirts is the sum of the number of black shirts, white shirts, and gray shirts: Next, we calculate the number of shirts that are not black. This is the sum of the number of white shirts and gray shirts: The probability that a randomly chosen shirt is not a black shirt is the ratio of the number of shirts that are not black to the total number of shirts: To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2: Thus, the probability that a randomly chosen shirt is not a black shirt is: