There are N

Question

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)
Responses

P(X)=5N
upper P left parenthesis upper X right parenthesis equals Start Fraction 5 over upper N End Fraction

P(X)=1N
upper P left parenthesis upper X right parenthesis equals Start Fraction 1 over upper N End Fraction

P(X)=5N
upper P left parenthesis upper X right parenthesis equals 5 upper N

P(X)=5

Answer 1

The probability of picking any one specific letter from a total of \( N \) letter tiles (assuming each letter is equally likely to be chosen) can be represented by the equation:

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

This means that the probability of picking any one specific letter \( X \) from the \( N \) tiles is the reciprocal of the total number of tiles. Therefore, the correct response from the given options is:

\[ P(X) = \frac{1}{N} \quad \text{(This is how you would write it in LaTeX: } P(X) = \frac{1}{N}\text{)} \]