If you pick a card at random from a well shuffled deck what is the probability you will pick a face card or a spade?
Either-or probabilities are found by adding the individual probabilities. Since three face cards are already spades, delete them for the face card probability.
9/52 + 13/52 = ?
To find the probability of picking a face card or a spade from a well-shuffled deck, we first need to determine the number of favorable outcomes (cards that meet the criteria) and the total number of possible outcomes.
1. Favorable outcomes:
- There are 3 face cards in each suit (jack, queen, and king), so there are a total of 3 * 4 = 12 face cards in the deck.
- There are 13 spades in the deck, including the 3 face cards that are also spades.
2. Total number of possible outcomes:
- A standard deck of playing cards contains 52 cards.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = (12 + 13) / 52
Probability = 25 / 52
Probability ≈ 0.4808 or about 48.08%
So, the probability of picking a face card or a spade from a well-shuffled deck is approximately 48.08%.