5. Some state lotteries have a pick 3 game, where you can choose any number from...

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5. Some state lotteries have a pick 3 game, where you canchoose any number from 000 to 999. The state picks the winningnumber at random.
a) How many possible numbers can you choose from?
b) If all 3-digit numbers is equally likely what is theprobability of any 1 specific number exactly matches the winningnumber?
c) Suppose you pick number 156 and you can win if the winningnumber contains these 3 digits in any order. What is theprobability you win?
d) Suppose you pick the number 111 and you can win if thewinning number contains these 3 digits in any order. What is theprobability you win?

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4.3 Ratings (810 Votes)

a How many possible numbers can you choose from The range is 000999 Thus there are total 1000 possible number to choose Each digit can be selected in 10 ways and 3 such digits can be selected in 103 See Answer

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