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Suppose you play a \"daily number\" lottery game in which three digits from 0–9 are selected...

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Statistics

Suppose you play a \"daily number\" lottery game in which threedigits from 0–9 are selected at random, so your probability ofwinning is 1/1000. Also suppose lottery results are independentfrom day to day.

A. If you play every day for a 7-day week, what is theprobability that you lose every day?

B. If you play every day for a 7-day week, what is theprobability that you win at least once? (Hint: Make use of youranswer to part a.)

C. Repeat parts a and b if you play every day for a 30-daymonth.

D. What if each digit can only be selected once. How manydifferent ways can the three digits be selected?

E. If order does matter in the digits, how many different wayscan the numbers be arranged?

Answer & Explanation Solved by verified expert
3.8 Ratings (327 Votes)
The probability of winning a lottery game per day is 11000 The lottery results are independent A PLose every day The probability of lose at each day 1 probability of winning 1 11000 999 1000 PYou lose every day for a 7 day week Plose on first day Plose on second dayPlose on third dayPlose on fourth dayPlose on fifth dayPlose on sixth dayPlose on seventh day    See Answer
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