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: Determine total number of outcomes

There are 10 cards in total, so the total number of possible outcomes when choosing a card is 10.

Step2: Determine favorable number of outcomes

The letters from L to Q are L, M, N, O, P, Q, which is 6 letters. So the number of favorable outcomes is 6.

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 the fraction

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

Answer:

$\frac{3}{5}$