TS EAMCET · Maths · Probability
A number is selected at random from the set \(\{1,2, \ldots \ldots, 100\}\). Given that the number selected is divisible 2 , the probability that it is also divisible by 3 or 5 , is
- A \(\frac{26}{50}\)
- B \(\frac{23}{50}\)
- C \(\frac{7}{50}\)
- D \(\frac{13}{50}\)
Answer & Solution
Correct Answer
(B) \(\frac{23}{50}\)
Step-by-step Solution
Detailed explanation
The number divisible by 2 in set \(\{1,2,3, \ldots, 100\}\) are \(E=\{2,4,6, \ldots, 100\}\) and the numbers in set \(E\) are divisible by 3 or 5 are \(\{6,10,12,18,20,24,30,36,40,42,48,50,54,60\), \(66,70,72,78,80,84,90,96,100\}\) So, required probability is \(=\frac{23}{50}\)
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