Question

Twenty-five (25) high school students---14 boys and 11 girls---are enrolled in an Environmental Science class. On...

  1. Twenty-five (25) high school students---14 boys and 11 girls---are enrolled in an Environmental Science class. On Friday, September 20, 2019, five (5) did not attend class because they wanted to participate in the Global Climate Protest march in New York.
  1. What is the probability that 2 of the absentees were girls?____________(1 point)
  1. What is the probability that 2 of the absentees were boys?____________(1 point)
  1. What is the probability that all of the absentees were boys?__________(1 point)
  1. What is the probability that none of the absentees were boys?_______(1 point)
Math   Statistics-And-Probability   
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Answer #1

Total students 25

Total ways to select 5 out of 25 is =

a) P(2 G, 3 B) =

So, answer is 26/69 or 0.3768 (rounded to 4 decimal places)

b) P(2 B, 3 G) =

So, answer is 13/46 or .2826 (rounded to 4 decimal places)

c) P(All boys) = P(5 B, 0 G) =

So, answer is 13/345 or .0377 (rounded to 4 decimal places)

d) P(none boys) = P(all girls) =

So, answer is 1/115 or 0.0087 (rounded to 4 decimal places)

Please comment if any doubt. Thank you.

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