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 :

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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