COMEDK · Maths · 36. Probability
While shuffling a pack of cards, 3 cards were accidently dropped, then find the probability that the missing cards belong to different suits?
- A \(\dfrac{261}{425}\)
- B \(\dfrac{104}{425}\)
- C \(\dfrac{169}{261}\)
- D \(\dfrac{169}{425}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{169}{425}\)
Step-by-step Solution
Detailed explanation
The total number of ways to choose 3 cards from a pack of 52 cards is \(^{52}C_{3} = \dfrac{52 \times 51 \times 50}{3 \times 2 \times 1} = 22100\). The number of ways to choose 3 cards such that they belong to different suits is calculated by first choosing 3 suits out of 4,…
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