Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.

# Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.

1. A

2. B

3. C

4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.

### Solution:

Given, red queens and black jacks are removed from a pack of 52 playing cards.
We know that a pack of 52 cards contains 12 face cards out of which a pair of king, queen and jacks are red and a pair of king, queen and jacks are black.
So, the total outcomes is  .
According to the question, the drawn card is a queen.
We know that there are 4 queen cards.
Since, the red queens are removed, the number of favourable outcomes is  .
Now, the probability of getting a queen card is:

Therefore, the required probability is  .
Hence, option 2 is correct.

## Related content

 Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

Talk to our academic expert!

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.