In 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 ?

Solution

Number of ways to select 3 consecutive numbers out of 49, is 47. Further number of ways for the other 3numbers would be 46x45x44

Therfore number of ways for the person to win is 47x46x45x44

Total number of selections will be 49!/6!*43!

Therfore required probability = 47x46x45x44 x 6! / 49x48x47x46x45x44 = 6! / 49x48 = 720 / 2352

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 ?SolutionNumber of

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