Question

Assume you are working with a standard deck of 52 cards. There are 13 cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace) in each of four suits (clubs, diamonds, hearts, and spades). What is the probability of drawing a jack and a heart if you draw one card?

1) 0
2) 17 over 52
3) 4 over 13
4) 1 over 52
5) 2 over 13

Answer 1

The probability of drawing a card that is both a jack and a heart from a standard deck of 52 cards is 1 out of 52, as there is only one such card in the deck, the jack of hearts.

Step-by-step explanation:

The question concerns the probability of drawing a specific type of card from a standard deck of 52 cards. To determine the probability of drawing a jack and a heart simultaneously when drawing one card, understand that there are in total 4 jacks in the deck (one in each suit) and 13 hearts. However, only one of those hearts is also a jack: the jack of hearts. Therefore, there is exactly one card in the deck that fulfills both conditions.

Since there are 52 cards in a deck, the probability of drawing the jack of hearts (which is both a jack and a heart) is 1 out of 52.

The correct answer thus to the question 'What is the probability of drawing a jack and a heart if you draw one card?' is 1 over 52.