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प्रश्न
Mark the correct alternative in the following question:
Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability that both cards are queen is
विकल्प
\[ \frac{1}{13} \times \frac{1}{13}\]
\[\frac{1}{13} + \frac{1}{13}\]
\[\frac{1}{13} \times \frac{1}{17}\]
\[\frac{1}{13} \times \frac{4}{5}\]
उत्तर
\[\text{ Let } : \]
\[\text{ A be the event that a queen is drawn in the first draw and } \]
\[\text{ B be the event that a queen is drawn in the second draw as well} \]
\[\text{ Now } , \]
\[P\left( \text{ Both the two cards drawn are queen } \right) = P\left( A \right) \times P\left( B|A \right)\]
\[ = \frac{4}{52} \times \frac{4}{52}\]
\[ = \frac{1}{13} \times \frac{1}{13}\]
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