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GATE 2020 AG – Question 47

Engineering Mathematics · Probability and Statistics · 2 marks · Numerical answer

Draw two cards successively without replacement from the26 red cards of a deck. Probability of first a king and then a queen is P×10⁻³. Find P (three decimals).

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Correct answer: 6.100 to 6.200

Explanation

There are two red kings and two red queens. The first event has probability2/26. Given a king was removed, both queens remain among25 cards, so the second factor is2/25. Probability=4/650=0.006153846; hence P=6.154.

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