Question

In a lottery game, a player picks 8 numbers from 1 to 50. If 7 of the 8 numbers match those drawn, theplayer wins second prize. What is the probability of winning this prize? Be sure to leave your answer as afraction in order to earn credit.There is aprobability of winning second prize.

Answer 1

For this case we know that the total of numbers are 50 and then the player needs to select 7 out of 8 numbers to win the second prize so then in terms of probability we can do this:

`p=(8C7(42C1))/(50C8)`

And using properties of combinatories we got:

`p=(8\cdot42)/(50C8)=(336)/(536878650)=(8)/(12782825)`