When drawing a card from a deck, the P(king and hearts) is:
The events are independent.
Use:
P(Ki ∩ ♥) = P(Ki)×P(♥)
Again, are we drawing one card or two ?
To calculate the probability of drawing a king from a deck that contains 52 cards, we need to determine the number of favorable outcomes (the number of kings that are also hearts) and the number of possible outcomes (the total number of cards in the deck).
There are a total of 52 cards in a deck, and since we're interested in the probability of drawing a king and hearts, we need to determine how many of those cards satisfy both conditions. In a standard deck, there are 4 kings (one king per suit) and 13 hearts (one heart per rank).
However, there is only one card that is both a king and a heart, which is the King of Hearts. Therefore, the number of favorable outcomes is 1.
The number of possible outcomes is the total number of cards in the deck, which is 52.
Now, we can calculate the probability using the formula: P(King and Hearts) = Number of favorable outcomes / Total number of possible outcomes.
Substituting the values we found, we get: P(King and Hearts) = 1 / 52.
Therefore, the probability of drawing a King and Hearts from a deck is 1/52.