Question

Find the probability of the event. Choosing the letter \(N\) from a bag that contains all 26 letters of the alphabet.

Short answer

The probability of selecting the letter 'N' randomly from a bag containing all the 26 letters of the English alphabet is \(\frac{1}{26}\)

Step-by-step solution

Define Total and Favorable Outcomes

Determine the number of total outcomes and favorable outcomes. The total number of outcomes is 26 because there are 26 different letters in the English alphabet. The desirable outcome, choosing the letter 'N', is just one. Therefore, we have one favorable outcome and 26 possible outcomes.

Calculate the Probability

Using the formula for probability, which is favorable outcomes divided by total outcomes, we can evaluate the probability. Let's plug in our values into the formula. The probability \(P\), is given by \(P = \frac{favorable outcomes}{total outcomes}\). Plugging the values we get: \(P = \frac{1}{26}\)