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Five people (Antoine, Ben, Carla, Damien, and Evelyn) form a club, N = {A, B, C, D, E }. Carla and Evelyn are women, and the others are men. If they choose a secretary randomly, find the odds in favor of Antoine becoming secretary. The odds in favor of Antoine becoming secretary are ◻ to ◻ (Type whole numbers.)

Five people (Antoine, Ben, Carla, Damien, and Evelyn) form a club, N = \{A, B, C, D, E } \} . Carla and Evelyn are women, and the others are men. If they choose a secretary randomly, find the odds in favor of Antoine becoming secretary.\newlineThe odds in favor of Antoine becoming secretary are □ \square to □ \square \newline(Type whole numbers.)

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Q. Five people (Antoine, Ben, Carla, Damien, and Evelyn) form a club, N = \{A, B, C, D, E } \} . Carla and Evelyn are women, and the others are men. If they choose a secretary randomly, find the odds in favor of Antoine becoming secretary.\newlineThe odds in favor of Antoine becoming secretary are □ \square to □ \square \newline(Type whole numbers.)
  1. Determine Total Number: Step 11: Determine the total number of people in the club.\newlineReasoning: There are 55 members in the club, Antoine, Ben, Carla, Damien, and Evelyn.\newlineCalculation: N=5N = 5
  2. Calculate Probability: Step 22: Calculate the probability of Antoine being chosen as secretary.\newlineReasoning: Each member has an equal chance of being chosen, so the probability for Antoine is 11 out of 55.\newlineCalculation: Probability =15= \frac{1}{5}
  3. Find Odds in Favor: Step 33: Find the odds in favor of Antoine becoming secretary.\newlineReasoning: Odds in favor are calculated as the probability of the event happening divided by the probability of the event not happening.\newlineCalculation: Odds = (15)/(45)=14(\frac{1}{5}) / (\frac{4}{5}) = \frac{1}{4}

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