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Chapter 11: Problem 21

If people understood the mathematics involving probabilities and lotteries, as you now do, do you think they would continue to spend hundreds of dollars per year on lottery tickets? Explain your answer.

Short Answer

Expert verified
Whether people continue to play the lottery or not despite understanding the extremely low probability of winning can vary, as it depends on how they value the psychological benefits of hope and dream against the financial cost. Some might stop, considering it economically unwise, while others might continue, enjoying the anticipation or viewing it as a form of entertainment.

Step by step solution

01

Understanding the probability of winning a lottery

Mathematically, the odds of winning a typical lottery are extremely low. For example, in a 6/49 lottery, where you choose 6 numbers from 49, the number of possible combinations is \( \binom{49}{6} \) which equals 13,983,816. Therefore, the probability of winning is approximately 1 in 14 million.
02

Considering the economic cost

Many people spend hundreds of dollars per year on lottery tickets. Given the extremely low probability of winning, one could argue that they would be financially better off if they saved that money instead.
03

Reflecting on behavioral factors

Understanding the mathematics of probabilities doesn't necessarily mean people would stop buying lottery tickets. Lotteries often appeal to the human tendency to dream of quick and easy wealth and an escape from financial difficulties. Also, some people may derive enjoyment from the anticipation and hope generated by buying a ticket, and may consider it as a form of inexpensive entertainment.
04

Formulating a personal conclusion based on the understanding

Depending on one's values, understanding, and personal situation, the decision to continue buying lottery tickets or not can vary. Each individual might weight the financial cost, the low probability of winning, and the psychological benefits differently.

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