91.2k views
3 votes
If a card is drawn from a deck of 52 playing cards, then what is the probabiltiy of getting a jack or a face

1 Answer

3 votes

Final answer:

The probability of drawing a jack or any face card from a 52-card deck is 12 out of 52, because there are 4 jacks and a total of 12 face cards in the deck.

Step-by-step explanation:

If a card is drawn from a deck of 52 playing cards, the probability of getting a jack (which is a face card) can be determined considering there are 4 jacks among the 12 face cards.

In a standard deck, there are 3 face cards (jack, queen, and king) in each suit, and since there are 4 suits, there are 3 * 4 = 12 face cards in total.

As such, the probability of drawing a jack or any other face card from a full deck is calculated by dividing the number of face cards by the total number of cards in the deck.

The calculation is as follows:

  • Total number of cards in a deck = 52
  • Total number of face cards (including jacks) = 12
  • Probability of getting a face card = Number of face cards / Total number of cards = 12 / 52

Therefore, the probability of drawing a jack or any face card from a standard deck is 12 out of 52, which reduces to 23% when expressed as a percentage.

User Quant Christo
by
7.7k points