There are 50 red balls and 50 blue balls in a box. You randomly pick one ball out of the box and then put it back. What is the probability that you picked a red ball three times in a row?
Let's break down the problem into individual events:

1. The probability of picking a red ball on the first try is 50/100 (since there are 50 red balls and 100 total balls).
2. Since we're putting the ball back after each draw, the probabilities remain the same for each subsequent draw.
3. So, the probability of picking a red ball on the second try is also 50/100.
4. And the probability of picking a red ball on the third try is again 50/100.

Now, to find the combined probability of all three events happening in a row, we multiply the individual probabilities together:

(50/100) * (50/100) * (50/100) = (1/2) * (1/2) * (1/2) = 1/8

So, the probability of picking a red ball three times in a row is 1/8 or 0.125.