alex has just been fouled in a one and one free throw situation what is the probability he will score 0 poins? 1 point? 2 points?

We would have to know what his shooting percentage is on foulshots.

60%

To determine the probabilities of scoring 0, 1, or 2 points in a one-and-one free throw situation, we need some additional information: Alex's free throw shooting percentage. Let's say Alex's free throw shooting percentage is 80%.

To calculate the probabilities, we can follow these steps:

1. Calculate the probability of scoring 0 points:
The probability of missing the first free throw is 1 - 0.80 = 0.20 (since the shooting percentage is the probability of scoring). If Alex misses the first free throw, he won't get a second attempt, so the probability of scoring 0 points is 0.20.

2. Calculate the probability of scoring 1 point:
To score 1 point, Alex must make the first free throw (probability = 0.80) and miss the second free throw (probability = 0.20). Therefore, the probability of scoring 1 point is 0.80 * 0.20 = 0.16.

3. Calculate the probability of scoring 2 points:
To score 2 points, Alex must make both free throws. So, the probability of scoring 2 points is simply the square of the shooting percentage: 0.80 * 0.80 = 0.64.

In summary, the probabilities are as follows:
- Probability of scoring 0 points: 0.20 (20%)
- Probability of scoring 1 point: 0.16 (16%)
- Probability of scoring 2 points: 0.64 (64%)