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A drawer is filled with 7 black shirts,5 white shirts,10 gray shirts. one shirt is chosen at random from the drawer. find the probability that it is not a gray shirt.

Respuesta :

12/22 will be your answer

The probability that it is not a gray shirt is [tex]\bold{0.5454}[/tex] or 54.54%.

Probability

The probability helps us to know the chances of an event occurring.

[tex]\bold{Probability=\dfrac{Desired\ outcomes}{Total\ number\ of\ outcomes}}[/tex]

Given to us,

Black shirts = 7,

White shirts = 5,

Gray shirts = 10

As we know that to calculate the probability that it is not a gray shirt. we need to know the desired outcomes and total possible outcomes.

so, the desired outcomes are anything except the gray shirt, therefore, the black and white shirt.

black shirt + white shirt = 7 + 5 = 12,

And, the total possible outcomes = black shirt + white shirt + gray shirt

                                                        = 7 + 5 + 10

                                                        = 22

Probability that it is Not a Gray Shirt

[tex]\bold{Probability(Not\ gray\ shirt)=\dfrac{Desired\ outcomes(12)}{Total\ number\ of\ outcomes(22)}}[/tex]

[tex]\bold{Probability(Not\ gray\ shirt)=\dfrac{12}{22}=\dfrac{6}{11}=0.5454}[/tex]

Hence, the probability that it is not a gray shirt is [tex]\bold{0.5454}[/tex] or 54.54%.

Learn more about Probability:

https://brainly.com/question/12543409

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