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.

Explanation:

Step1: Count total number of cards

There are 10 cards in total. So, total number of possible outcomes \( n(S)=10 \).

Step2: Count favorable outcomes

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

Step3: Use probability formula

Probability \( P(E)=\frac{n(E)}{n(S)} \). Substituting values, \( P(E)=\frac{4}{10}=\frac{2}{5} \).

Answer:

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