Question

Question 2.

The king, queen and jack, all of clubs, are removed from a deck of 52 playing cards
and then well-shuffled. Now, one card is drawn at random from the remaining cards.
What is the probability that the card is: -

A heart
A king
10 of hearts,
A black face card,
An ace or a queen.

Answer 1

Explanation:

When the three cards are removed, the sample space becomes 49.

Probability of a heart = 13/49. No hearts were removed from the deck.

Probability of a king = 3/49. One king was removed from the deck.

Probability of the 10 of hearts = 1/49. There's only one 10 of hearts in the deck, and it was not removed.

Probability of a black face card = 3/49. Three of the black face cards were removed, so all that is left are the king, queen, and jack of clubs.

Probability of an ace OR a queen = 7/49 = 1/7. There are 3 queens and 4 aces remaining in the deck.