A positive integer is selected at random from the set of positive integers not exceeding 200. What is the probability that the selected number is divisible by either 2 or 5?
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: B. 3/5
Explanation
Divisible by 2: 100; by 5: 40; by both (10): 20. By inclusion–exclusion, 100 + 40 − 20 = 120. Probability = 120/200 = 3/5.More Discrete Structures and Optimization questions
- Match List I with List IIList I List II A. If the Indian team wins, then it is raining I. Inverse B. If the Indian team does not win, then…
- Let P denote "She is intelligent" and let Q denote "She is happy." Given below are the statements: (a) If she is intelligent, then she is u…
- In a group of 120 people: 65 eat Rice, 45 eat bread, 42 eat curd, 20 eat both Rice and bread, 25 eat both Rice and curd, 15 eat both bread…
- Choose the correct statement for a group G:
- Let m and n be positive integers. Consider: (A) If n ≠ 1, then m < mn. (B) If k is composite, then k = mn where 1 < m, n > k. (C) If mn = 1…
- Which one of the following is NOT a basic solution of the system of linear equations x₁ + 2x₂ + x₃ = 4 2x₁ + x₂ + 5x₃ = 5