A lotto involves picking 5 different random numbers between 1 and 53. Find the probability of...
A lotto involves picking 5 different random numbers between 1 and 53. Find the probability of matching all 5 numbers (in order) which are randomly selected
Homework Answers
Number of total ways to select 5 numbers when order matters
= 53P5
= 53! / (53 - 5)!
= 53! / 48!
= 344362200
In this, there will be only 1 correct match. Hence,
P(Matching all 5 numbers) = 1/344362200
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