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Probability A bag of miniature candy contains: - 15 Crunch bars - 14 Hershey's chocolate bars - 10 Mr. Goodbars - 12 Hershey's Cookies and Cream bars. Enter all answers as reduced fractions using / as the fraction bar. 1. What is the probability of randomly choosing a Crunch bar? \( P(R)= \) 2. What is the probability of randomly choosing a Mr. Goodbar? \( P(G)= \) 3. What is the probability of randomly choosing a Cookies and Cream bar? \( P(K)= \)

Ask by Boyd Romero. in the United States
Feb 03,2025

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1. \( P(R) = \frac{5}{17} \) 2. \( P(G) = \frac{10}{51} \) 3. \( P(K) = \frac{4}{17} \)

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Bonus Knowledge

To determine the probabilities, we first need to find the total number of candy bars in the bag: Total = 15 (Crunch) + 14 (Hershey's) + 10 (Mr. Goodbar) + 12 (Cookies and Cream) = 51 bars. 1. The probability of randomly choosing a Crunch bar is given by the ratio of Crunch bars to the total number of bars. Thus, \( P(R) = \frac{15}{51} = \frac{5}{17} \). 2. The probability of randomly choosing a Mr. Goodbar is calculated similarly. \( P(G) = \frac{10}{51} \) (this fraction is already in reduced form since there are no common factors). 3. Lastly, the probability of randomly choosing a Cookies and Cream bar is \( P(K) = \frac{12}{51} = \frac{4}{17} \) after simplifying. Now for some fun facts! Did you know the concept of probability dates back to the 16th century? Mathematicians like Gerolamo Cardano and Blaise Pascal laid the groundwork, often driven by a fascination with gambling and games of chance! Additionally, in real-world applications, understanding probability is essential in fields like finance, insurance, and even medicine! For instance, physicians utilize probability to weigh risks and benefits of treatments, optimizing patient care based on statistical evidence. So, every candy pick can be a little lesson in life!

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