AP EAMCET · Maths · Probability
From a collection of eight cards numbered 1 to 8 , if two cards are drawn at random, one after the other with replacement, then the probability that the product of numbers that appear on the cards is a perfect square is
- A \(\frac{3}{14}\)
- B \(\frac{6}{13}\)
- C \(\frac{3}{16}\)
- D \(\frac{1}{16}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{16}\)
Step-by-step Solution
Detailed explanation
Let \(A=\{(1,1),(1,4),(2,2),(2,8),(3,3)(4,1)\), \((4,4),(5,5),(6,6),(7,7),(8,2),(8,8)\}\) Whose product is square number \(\Rightarrow P(A)=\frac{12}{64}=\frac{3}{16}\)
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