2 Questions: Odds and Probability

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SUMMARY

The discussion focuses on two probability questions related to odds and birthday problems. The first question involves calculating the combined odds of team A and team B winning a championship, given their individual odds of 1:5 and 2:13, respectively. The second question addresses the probability of exactly two out of eight friends sharing the same birthday, which requires understanding the birthday paradox and combinatorial probability. Participants are encouraged to show their work for clarity and to facilitate better assistance.

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  • Understanding of odds and probability concepts
  • Familiarity with combinatorial mathematics
  • Basic knowledge of the birthday problem
  • Ability to perform calculations involving ratios
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  • Research how to calculate combined odds in probability
  • Learn about the birthday paradox and its implications
  • Study combinatorial probability techniques
  • Explore practical applications of probability in real-world scenarios
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This discussion is beneficial for students studying probability, educators teaching mathematical concepts, and anyone interested in understanding odds and their applications in real-life situations.

mwang
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Hey all,

I was going over some questions in my textbook when I came across these two questions. I could not get the answer in the back of the book (possibly because there is an error) or I did something wrong. I'd appreciate it if anybody can help me out.

1) If the odds in favor of team A winning the championship is 1:5, and the odds in favor of team B winning the championship is 2:13, what are the odds in favor of either team A or team B winning the championship.

2) What is the probability that exactly two out of eight friends will have the same birthday?


I'd appreciate any input

Thanks
 
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