Question

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

Answer 1

Answer: 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 :-

$\text{P(one number)}=\dfrac{1}{10}$

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

$\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}=(\dfrac{1}{10})^8=\dfrac{1}{100,000,000}$

Answer 2

I really don’t know but I thank it is 100,000,000