The probability that the Cubs win their first game is. The probability that the Cubs win their second game is. What is the probability that the Cubs win both games?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Understanding Probability with Sports

**Example Problem:**

The probability that the Cubs win their first game is \( \frac{1}{3} \). The probability that the Cubs win their second game is \( \frac{3}{7} \). What is the probability that the Cubs win both games?

**Solution:**

To find the probability that the Cubs win both games, we need to multiply the probabilities of each individual event (winning the first game and winning the second game).

\[ \text{Probability of winning both games} = \left( \frac{1}{3} \right) \times \left( \frac{3}{7} \right) = \frac{1 \times 3}{3 \times 7} = \frac{3}{21} = \frac{1}{7}. \]

Therefore, the probability that the Cubs win both games is \( \frac{1}{7} \).

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There are no graphs or diagrams associated with this text that need explaining. If you have any further questions about probability or would like to explore more examples, feel free to ask!
Transcribed Image Text:Certainly! Here is the transcribed text for an educational website, along with an explanation for any diagrams or graphs if present: --- ### Understanding Probability with Sports **Example Problem:** The probability that the Cubs win their first game is \( \frac{1}{3} \). The probability that the Cubs win their second game is \( \frac{3}{7} \). What is the probability that the Cubs win both games? **Solution:** To find the probability that the Cubs win both games, we need to multiply the probabilities of each individual event (winning the first game and winning the second game). \[ \text{Probability of winning both games} = \left( \frac{1}{3} \right) \times \left( \frac{3}{7} \right) = \frac{1 \times 3}{3 \times 7} = \frac{3}{21} = \frac{1}{7}. \] Therefore, the probability that the Cubs win both games is \( \frac{1}{7} \). --- There are no graphs or diagrams associated with this text that need explaining. If you have any further questions about probability or would like to explore more examples, feel free to ask!
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