| Assertion (A): Seven face cards are removed from a deck of cards and the cards are well shuffled. Then the probability of drawing a face card is \[\frac{5}{52}\]. |
| Reason (R): King, Queen and Jack are known as face cards. |
| So, there are 12 face cards in total. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: D
Solution :
| [d] Clearly, Reason is true. |
| Total number of possible outcomes \[=52-7=45\] |
| Remaining number of face cards \[=12-7=5\] |
| So, favorable number of outcomes =5 |
| \[\therefore \] Required probability \[=\frac{5}{45}=\frac{1}{9}\] |
| \[\therefore \] Assertion: False; Reason: true. |
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