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
The total feasible numbers are: 10101010101010*10 = 10^8
The probability is 1/10^8
Answer: \(1/10^8\)
Step-by-step explanation:
Here the total numbers are 10 ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
Since, the probability of choosing one number = \(\frac{1}{10}\)
Therefore, the probability of choosing 8 numbers =
\(\frac{1}{10}\times\frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}\times\) ( because there is no replacement)
= \(\frac{1}{10^8}\)