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Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites. What is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree

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The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:

  • A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree.  
  • 21 = 100
  • 12 = X
  • 12 x 100/21 = X
  • 1200/21 = X
  • 57.14 = X

Therefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

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