Homework SourseIn California lotto you pick 6 numbers from 1 to 49 If 3 num
In California lotto you pick 6 numbers from 1 to 49. If 3 numbers are correct and in order you win. What is the probability of this happening ?
In California lotto you pick 6 numbers from 1 to 49. If 3 numbers are correct and in order you win. What is the probability of this happening ?
In California lotto you pick 6 numbers from 1 to 49. If 3 numbers are correct and in order you win. What is the probability of this happening ?
Solution
There are 49P6 ways to draw any 6 balls.
There is only 1 way to have the corresponding 3 balls, but you can permute it 4 ways in your 6 balls.
Meanwhile, there are 46P3 ways to choose the 3 incorrect balls.
Hence, there are 4*(46P3) ways to win.
Hence,
P = 4*(46P3)/(49P6) = 3.61847*10^-5 [ANSWER]
