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)
Responses

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

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

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

P(X)=5N

1 answer

The probability of picking a specific letter when there are \( N \) letter tiles in a box, assuming that each letter is equally likely to be picked, is given by the equation:

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

This indicates that the probability of selecting any particular letter \( X \) is one out of the total number \( N \) of letters.

Therefore, the correct response is:

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

or

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

These two notations are equivalent and represent the same concept.