The king, queen and jack of diamonds are removed from a pack of 52 playing cards and then the remaining cards are well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a red queen.

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answer is A.

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Detailed Solution

Given that from a pack of 52 playing cards, the king, queen and jack of diamonds are removed and one card is selected from the remaining cards.
We need to find the probability of getting a red queen.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

A deck of cards contains 52 cards in it, that are 13 spade cards, 13 heart cards, 13 diamond cards and 13 club cards.
Three cards are removed from the pack of 52 cards.
Therefore, the remaining cards in the pack are:
52 – 3 = 49
Therefore, the total number of possible outcomes is 49.
There are two red queens in the pack, but since the queen of diamond is removed from the pack, we are left with only 1 red queen.
Therefore, the total number of favorable outcomes will be 1.
Let