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What are the steps to solve this probability word problem?
Jenny buys a lottery ticket. It has five digits. For each digit, there is an equal probability that any of the numbers 0-9 will be chosen. Jenny's number is 00573. What are the odds that she will win? The correct answer is 100,000:1.
2 Answers
- AshLv 74 weeks agoFavorite Answer
P(1st digit win) = winning digit / total digits = 1/10
P(2nd digit win) = winning digit / total digits = 1/10
....same for all the digits
so we get
P(5 winning digits) = 1/10 x 1/10 x 1/10 x 1/10 x 1/10 = 1/100,000
or 1: 100,000
- ignoramusLv 74 weeks ago
You are incorrect.
The number of possible numbers is 100 000. Jenny has one of them.
So the ODDS of her winning are 99 999 to 1 AGAINST.
But the PROBABILITY of her winning is 1/100 000, or 10^(-5).
Make sure that you know the difference between odds and probability.