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there are 12 blue shirts and 7 purple shirts in a drawer. three shirts are randomly selected without replacement. what is the probability of selecting two purple shirts then a blue shirt? (write your answer as a fraction reduced to lowest terms. format answer 0/0 )

Sagot :

varshamittal029

The probability of selecting two purple shirts then a blue shirt is  28/323

Given, there are 12 blue shirts and 7 purple shirts in a drawer.

three shirts are randomly selected without replacement.

the probability of selecting two purple shirts then a blue shirt is,

(C(7 , 2) × C(12 , 1))/C(19 , 3) = ((7×6)/2 × 12)/(19×18×17)/6

= (7×6×6)/(19×3×17)

= 84/969

= 28/323

Hence, the probability of selecting two purple shirts then a blue shirt is  28/323

Learn more about Probability here https://brainly.com/question/13604758

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