What is the probability of drawing 2 face cards in a draw of 2 cards from a full deck of cards?
1. 13/221
2. 9/221
3. 11/221
4. 4/13
5. 10/221
1. 13/221
2. 9/221
3. 11/221
4. 4/13
5. 10/221
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Correct Answer – Option 3 : 11/221
Given:
2 cards have been drawn from a full deck of 52 cards.
Formula used:
Probability = number of possibility in the required scenario / all possible scenarios
Calculations:
Number of face cards in a full deck of cards = (3 × 4) = 12
[each series of cards contain 3 face cards i.e. king, queen and jack]
Total number of cards = 52
So, required probability = \({}_2^{12}C\;/\) \({}_2^{52}C\) = (12 × 11)/ (52 × 51) = 11/221