There are N letter tiles placed in a box. If each letter is equally likely to be picked, which equation represents the probability of each possible outcome in a trial? Let X be the event of getting a letter and N be the number of tiles. (1 point) P(X) = 5/N P(X) = 5 P(X) = 5N P(X) = 1/N

1 answer

The probability of picking any specific letter from a total of N letter tiles, assuming each tile is equally likely to be picked, is given by the formula:

\[ P(X) = \frac{1}{N}. \]

This is because there is 1 favorable outcome (picking a specific letter) out of N possible outcomes (total tiles).

Therefore, the correct equation representing the probability of each possible outcome in a trial is:

\[ P(X) = \frac{1}{N}. \]