Bill Gates wrote a computer program that generates three random numbers
between 1 and 10. What is the probability that all three values will be three?

1/1000

Step-by-step explanation:

The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:

(1)

In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.

The total number of possible outcomes is

n = 10

While the number of succesfull outcomes (getting a 3) is only one:

So, the probability of drawing a 3 in 1 draw is

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

step-by-step explanation: