Question

a box contains ten cards labeled q, r, s, t, u, v, w, x, y, and z. one card will be randomly chosen. what is the probability of choosing a letter from q to t? write your answer as a fraction in simplest form.

Explanation:

Step1: Identify favorable outcomes

Count letters from Q to T: Q, R, S, T → 4 outcomes.

Step2: Identify total outcomes

Total cards: 10 (Q, R, S, T, U, V, W, X, Y, Z).

Step3: Calculate probability

Probability = $\frac{\text{favorable}}{\text{total}}$ = $\frac{4}{10}$ = $\frac{2}{5}$.

Answer:

$\frac{2}{5}$