Zoe meets 25 hopeful gentlemen. After an initial meeting with all of them, Zoe is asked to secretly pick the ten men she is most interested in. For the next stage of the show, all 25 men are then randomly placed behind doors marked 1 - 25. Zoe

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a new version of the Bachelorette, Zoe meets 25 hopeful gentlemen. After an initial meeting with all of them, Zoe is asked to secretly pick the ten men she is most interested in. For the next stage of the show, all 25 men are then randomly placed behind doors marked 1 - 25. Zoe then picks 10 doors to reveal the men who will go on to compete for her love.

  1. What is the probability that Zoe picks all ten of the men she was most interested in?
  2. What is the probability that Zoe picks at least two of the men she was most interested in?
  3. What is the probability that Zoe doesn’t get any of the men she was most interested in?
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