If a single card is drawn from a standard 52-card deck, what is the probability that it is either a four or a spade?
12+4=16
16/52=4/13
To find the probability that a card drawn from a standard 52-card deck is either a four or a spade, we need to determine the number of favorable outcomes (cards that are four or spades) and divide it by the total number of possible outcomes (all cards in the deck).
First, let's determine the number of favorable outcomes:
1. Number of fours in a deck: There are four fours in a deck (one of each suit: hearts, diamonds, clubs, and spades).
2. Number of spades in a deck: There are 13 spades in a deck (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king).
However, we have counted one card (the four of spades) twice, as it falls into both categories, so we need to subtract one from the total count.
The total number of favorable outcomes is 4 + 13 - 1 = 16.
Next, let's determine the total number of possible outcomes:
A standard deck of cards consists of 52 cards.
Therefore, the total number of possible outcomes is 52.
Now, we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 16 / 52
Simplifying the fraction, we get:
Probability = 4 / 13
Therefore, the probability that a card drawn from a standard 52-card deck is either a four or a spade is 4/13.
So, there is approximately a 31% chance of drawing either a four or a spade.