Use the counting principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9. a. 1 in 100,000,000 b. 1 in 43,046,721 c. 1 in 1,000,000,000 d. 1 in 10,000,000

A. 1 in 100,000,000

Step-by-step explanation:

The given digits are  0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total number of digits = 10

Now by using the counting principle, the probability of choosing one number is given  by :-

Therefore, the probability of choosing 8 numbers (with replacement ) will be :

47 - 90 = 43

43 - 180 = x

x = 137