Final answer:
The probability of drawing one card from each suit without replacement from a deck can be calculated. The probability is approximately 0.053.
Step-by-step explanation:
The probability of drawing three cards, one from each suit (heart, spade, diamond, and club), from a deck without replacement can be calculated as follows:
Let's start with the first card drawn. There are 52 cards in a standard deck, and 13 cards in each suit.
So, there is a 13/52 chance of drawing a heart as the first card.
Once the first card is drawn, there are 51 cards remaining in the deck.
The probability of drawing a spade next is 13/51, as there are 13 spades left in the deck.
Similarly, after drawing the first two cards, there are 50 cards remaining, and the probability of drawing a diamond is 13/50.
Finally, after drawing three cards, there are 49 cards remaining, and the probability of drawing a club is 13/49.
To find the probability of all four events occurring, we multiply these individual probabilities together:
P(heart, spade, diamond, club) = (13/52) * (13/51) * (13/50) * (13/49)
After simplifying and calculating this expression, we find that the probability is approximately 0.053:
P(heart, spade, diamond, club) ≈ 0.053