COMEDK · Maths · 36. Probability
Suppose we have three cards identical in form except that both sides of the first card are coloured red, both sides of the second are coloured black, and one side of the third card is coloured red and the other side is coloured black.
The three cards are mixed and a card is picked randomly. If the upper side of the chosen card is coloured red, what is the probability that the other side is coloured black.
- A \(\dfrac{1}{2}\)
- B \(\dfrac{1}{6}\)
- C \(\dfrac{1}{3}\)
- D 0
Answer & Solution
Correct Answer
(C) \(\dfrac{1}{3}\)
Step-by-step Solution
Detailed explanation
Let \(C_1\) be the card with both sides red, \(C_2\) be the card with both sides black, and \(C_3\) be the card with one side red and one side black. There are a total of 6 sides: \(R_1, R_2\) (from \(C_1\)), \(B_1, B_2\) (from \(C_2\)), and \(R_3, B_3\) (from \(C_3\)). The…
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