Cards are drawn one by one at random from a well shuffled pack of 52 cards until 2 spades…

Mathematics · JEE Main · NTA Exams — Statistics and Probability

1. \(\frac{{ }^{39} C_{10}}{{ }^{52} C_{19}} \cdot \frac{{ }^{13} C_{2}}{{ }^{33}}\)
2. \(\frac{{ }^{31} \mathrm{C}_{18} \cdot{ }^{13} \mathrm{C}_{1}}{{ }^{52} \mathrm{C}_{19}} \cdot \frac{12}{33}\)
3. \(\frac{{ }^{46} \mathrm{C}_{19}}{{ }^{52} \mathrm{C}_{19}} \cdot \frac{12}{13}\)
4. None of these

Answer

(B) ^ 31 C _ 18 ^ 13 C _ 1 ^ 52 C _ 19 12 33

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