if u pick a card random from a well shuffled deck ,what is the probability you get a face card or a spade.
Your college subject is math or probability or statistics -- not college.
16 face cards + 9 other spades = 25 cards
25/52 chances
25:52
To calculate the probability of drawing either a face card or a spade from a well-shuffled deck, you need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
Number of face cards in a deck: There are 3 face cards in each suit (the King, Queen, and Jack), so a total of 4 suits means there are 4 x 3 = 12 face cards in the deck.
Number of spades in a deck: There is exactly 1 spade card for each rank, so there are 13 spades in the deck.
However, it's important to note that there is an overlap between face cards and spades. The three face cards in each suit also include the King, Queen, and Jack of spades. Therefore, to avoid counting these cards twice, we need to subtract them from the total.
Number of face cards that are spades: There are 3 face cards that are also spades.
Now, let's calculate the number of favorable outcomes:
Favorable outcomes = Number of face cards + Number of spades - Number of face cards that are spades
Favorable outcomes = 12 + 13 - 3 = 22
Next, we need to find the total number of cards in a standard deck, which is 52.
Therefore, the probability of drawing either a face card or a spade is:
Probability = Favorable outcomes / Total number of outcomes
Probability = 22 / 52
Probability = 11 / 26
Probability = 0.4231 or 42.31% (rounded to two decimal places)
Therefore, the probability is approximately 0.4231 or 42.31%.
To calculate the probability of getting a face card or a spade when picking a card from a well-shuffled deck, we first need to determine the number of favorable outcomes (cards that are either face cards or spades) and the total number of possible outcomes (all the cards in the deck).
Let's break it down step by step:
Step 1: Determine the number of favorable outcomes
In a standard deck, there are 12 face cards (king, queen, jack) and 13 spades. However, 3 of these face cards (king, queen, jack) are already counted as spades. So, the number of face cards or spades is 12 + 13 - 3 = 22.
Step 2: Determine the total number of possible outcomes
In a standard deck, there are 52 cards in total.
Step 3: Calculate the probability
The probability of an event happening is equal to the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
= 22 / 52
= 11 / 26
Therefore, the probability of picking a face card or a spade is 11/26, or approximately 0.4231.