Question

a number will be chosen at random from the set {8,10,11,13,22,27,36,42,50}. what is the probability that the number chosen will be even?

Explanation:

Step1: Count total numbers

The set has 9 numbers: {8,10,11,13,22,27,36,42,50}. So total outcomes \( n = 9 \).

Step2: Identify even numbers

Even numbers in the set: 8,10,22,36,42,50. Count them: \( m = 6 \).

Step3: Calculate probability

Probability \( P = \frac{\text{Number of even numbers}}{\text{Total numbers}} = \frac{6}{9} = \frac{2}{3} \).

Answer:

\(\frac{2}{3}\)