114k views
3 votes
One card is randomly selected from a deck of cards, find the odds and fever of drying a heart

User M Dunbavan
by
8.5k points

1 Answer

3 votes

Final answer:

The odds of drawing a heart from a standard 52-card deck are 13 to 39, and the probability is 1/4 or 0.25.

Step-by-step explanation:

The student has asked for the odds and probability (referred to by the student as 'fever') of drawing a heart from a standard deck of playing cards.

In a standard 52-card deck, each suit (hearts, spades, clubs, and diamonds) has 13 cards.

Since the events of drawing a heart (H) and drawing a spade (S) are mutually exclusive (a card cannot be both), the probability of drawing a heart is simply the number of hearts divided by the total number of cards.

  • Number of hearts (H) = 13
  • Total number of cards in the deck = 52

The probability of drawing a heart is therefore 13/52, which simplifies to 1/4 or 0.25.

The odds in favor of drawing a heart are 13 to 39 (since there are 39 other cards that are not hearts).

In other words, for every 13 times you draw a heart, you would expect to draw a non-heart 39 times.

User Sameh Serag
by
8.5k points