Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away?

Respuesta :

AL2006

For the first drawing, there are  30  tickets altogether, and Jason
has  10  of them.  The probability that one of his tickets will win is

                                                               10 / 30 .

For the second drawing, there are  29  tickets altogether, and Jason
has  9  of them.  The probability that one of his tickets will win is

                                                                 9 / 29 .

For the third drawing, there are  28  tickets altogether, and Jason
has  8  of them.  The probability that one of his tickets will win is

                                                                 8 / 28 .

The probability that all three of these things will happen is

                      (10/30) x (9/29) x (8/28)  =  720 / 24,360

                                                             =  6 / 203  =  2.96 percent (rounded)    

6/203 as fraction because math