In a certain state’s lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are drawn at random. if the six numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. in this lottery, the order the numbers are drawn in doesn’t matter. compute the probability that you win the million-dollar prize if you purchase a single lottery ticket.

First we will count the total number of ways in which six numbers can be drawn, and the number of ways the six numbers on the ticket can match the numbers drawn from the machine.

As order does not matter so, the number of possible outcomes of the lottery drawing is :

48C6 = 12,271,512.

Out of these, only one will match all six numbers on the player’s ticket, so the probability of winning the grand prize of $1,000,000 is:

`x=11/4