JEE Mains · Maths · STD 11 - 14. probability
An integer is chosen at random from the integers \(\{1,2,3, \ldots \ldots . .50\}\). The probability that the chosen integer is a multiple of atleast one of \(4,6\) and \(7\) is
- A \(\frac{8}{25}\)
- B \(\frac{21}{50}\)
- C \(\frac{9}{50}\)
- D \(\frac{14}{25}\)
Answer & Solution
Correct Answer
(B) \(\frac{21}{50}\)
Step-by-step Solution
Detailed explanation
Given set \(=\{1,2,3, \ldots \ldots . .50\}\) \(\mathrm{P}(\mathrm{A})=\) Probability that number is multiple of \(4\) \(P(B)=\) Probability that number is multiple of \(6\) \(\mathrm{P}(\mathrm{C})=\) Probability that number is multiple of \(7\) Now,…
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