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.

Explanation:

Step1: Count favorable outcomes

The letters from $Q$ to $T$ are $Q$, $R$, $S$, $T$. So there are 4 favorable outcomes.

Step2: Determine total outcomes

There are 10 cards in total, so total outcomes = 10.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$. So $P = \frac{4}{10}=\frac{2}{5}$.

Answer:

$\frac{2}{5}$