Suppose you draw one card from a single deck of cards.
(a) What is the probability that you draw an king? Round your answer to 3 significant digits*.
Probability
=number of successful outcomes/number of possible outcomes.
A standard deck has 4 kings and 52 cards.
What constitutes a successful outcome is drawing a king.
The number of possible outcomes is the number of cards in a deck.
So use the definition given at the beginning to find the probability of success (drawing a king).
4/52
To find the probability of drawing a king from a single deck of cards, you need to know two things: the number of kings in the deck and the total number of cards in the deck.
In a standard deck of playing cards, there are 4 kings (one for each suit - hearts, diamonds, clubs, and spades) and a total of 52 cards.
Therefore, the probability of drawing a king can be calculated by dividing the number of kings (4) by the total number of cards (52):
Probability = Number of kings / Total number of cards
Probability = 4 / 52
Simplifying this fraction, we get:
Probability = 1 / 13
Rounding this answer to 3 significant digits, the probability of drawing a king from a single deck of cards is approximately 0.077.