COMEDK · Maths · 36. Probability
Cards are numbered from 12 to 51. Two cards are drawn one after the other without replacement. Find the probability that one card is a multiple of 6 and the other card is a multiple of 8.
- A \(\dfrac{4}{65}\)
- B \(\dfrac{3}{52}\)
- C \(\dfrac{7}{156}\)
- D \(\dfrac{8}{195}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{8}{195}\)
Step-by-step Solution
Detailed explanation
Total number of cards is \(51 - 12 + 1 = 40\). Let \(A\) be the set of cards which are multiples of \(6\) and \(B\) be the set of cards which are multiples of \(8\). \(A = \{12, 18, 24, 30, 36, 42, 48\} \Rightarrow n(A) = 7\) \(B = \{16, 24, 32, 40, 48\} \Rightarrow n(B) = 5\)…
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