In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. if the eight 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 does not matter. compute the probability that you win the million-dollar prize if you purchase a single lottery ticket.

The required probability is

Step-by-step explanation:

Consider the provided information.

If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000.

Determine the total number of ways 8 numbers can be drawn,

Since the order the numbers are drawn in does not matter the number of possible outcomes of the lottery drawing is :

Only one would match all 8 numbers on the player’s ticket,

Therefore, the probability of winning the grand prize is:  

Hence, the required probability is

  about 5.6 days

step-by-step explanation:

we can fill the given information into the decay equation and solve for the value of t at which half the sample remains.

the half-life is about 5.6 days.