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one number is chosen at random from the set {3, 4, 5, 7, 9}. find the c…

Question

one number is chosen at random from the set {3, 4, 5, 7, 9}. find the chance of choosing: (b) a number more than 5 20% 25% 40% 60%

Explanation:

Step1: Count total set elements

Total numbers: $n_{\text{total}} = 5$

Step2: Count numbers >5

Valid numbers: {7,9}, so $n_{\text{valid}} = 2$

Step3: Calculate probability

Probability: $\frac{n_{\text{valid}}}{n_{\text{total}}} = \frac{2}{5} = 0.4 = 40\%$

Answer:

40%