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 l to q? write your answer as a fraction in simplest form.

Explanation:

Step1: Count favorable outcomes

The letters from $L$ to $Q$ are $L,M,N,O,P,Q$. So there are 6 favorable outcomes.

Step2: Identify 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 $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{6}{10}$.

Step4: Simplify fraction

$\frac{6}{10}=\frac{6\div2}{10\div2}=\frac{3}{5}$

Answer:

$\frac{3}{5}$