Question

a box contains ten cards labeled j, k, l, m, n, o, p, q, r, and s. one card will be randomly chosen. what is the probability of choosing a letter from n to q? write your answer as a fraction in simplest form.

Explanation:

Step1: Determine the total number of cards

There are 10 cards in total, so the total number of possible outcomes is \(n = 10\).

Step2: Count the number of favorable outcomes

The letters from \(N\) to \(Q\) are \(N\), \(O\), \(P\), \(Q\). So the number of favorable outcomes \(m=4\).

Step3: Calculate the probability

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 4\) and \(n = 10\), we get \(P=\frac{4}{10}\). Simplifying the fraction \(\frac{4\div2}{10\div2}=\frac{2}{5}\).

Answer:

\(\frac{2}{5}\)