Question

one number is chosen at random from the set {3, 5, 6, 7, 9, 15, 20, 35}. find the chance of choosing: (b) a number greater than 10 25% 33% 37.5% 50%

Explanation:

Step1: Count total set elements

Total numbers: $n_{\text{total}} = 8$

Step2: Count numbers >10

Numbers >10: {15,20,35}, so $n_{\text{valid}} = 3$

Step3: Calculate probability

Probability: $\frac{n_{\text{valid}}}{n_{\text{total}}} = \frac{3}{8} = 0.375$

Step4: Convert to percentage

Percentage: $0.375 \times 100\% = 37.5\%$

Answer:

37.5%