Find the probability of choosing spade or a red card from a standard deck of 52 cards
13 Spades + 26 red cards = 39
39/52 = 3/4
Yes,note unlike the other two questions because red and spade are mutually exclusive
To find the probability of choosing a spade or a red card from a standard deck of 52 cards, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.
First, let's find the number of favorable outcomes:
1. Number of spades: In a standard deck, there are 13 spades.
2. Number of red cards: There are 26 red cards in total since there are 13 hearts and 13 diamonds.
3. However, we need to subtract the number of cards that belong to both categories (spades and red cards). There are no spade cards that are also red cards, so this count is 0.
Therefore, the total number of favorable outcomes is 13 + 26 - 0 = 39.
Next, let's find the number of possible outcomes:
In a standard deck, there are 52 cards in total.
So, the total number of possible outcomes is 52.
Finally, let's calculate the probability:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 39 / 52
Simplifying the fraction:
Probability ≈ 0.75 or 75%
Thus, the probability of choosing a spade or a red card from a standard deck of 52 cards is approximately 0.75 or 75%.