COMEDK · Maths · 36. Probability
What is the probability of a randomly chosen 2 digit number being divisible by 3 ?
- A \(\dfrac{2}{9}\)
- B \(\dfrac{1}{3}\)
- C \(\dfrac{1}{9}\)
- D \(\dfrac{2}{3}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{1}{3}\)
Step-by-step Solution
Detailed explanation
The set of all 2-digit numbers ranges from \(10\) to \(99\). The total number of 2-digit numbers is \(99 - 10 + 1 = 90\). The 2-digit numbers divisible by \(3\) form an arithmetic progression: \(12, 15, 18, \dots, 99\). Using the formula for the \(n\)-th term of an arithmetic…
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