Question

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

Explanation:

Step1: Determine total number of outcomes

There are 9 cards in total, so the total number of possible outcomes is 9.

Step2: Determine number of favorable outcomes

The letters from K to Q are K, L, M, N, O, P, Q, which is 7 letters. So the number of favorable outcomes is 7.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{7}{9}$.

Answer:

$\frac{7}{9}$