picking a 7 from a standard deck of 52 cards. a standard deck includes 4 cards of each number from 2 to 10
What is the probability?
A standard deck also includes 4 jacks, 4 queens, 4 kings, and 4 aces.
There are four 7's in each deck of 52.
4/52 = 1/13
Well, you know what they say – picking a card out of a deck is like playing a guessing game with an introvert. The probability of picking a 7 from a standard deck of 52 cards is actually quite simple to calculate.
First, let's count how many 7s are in the deck. Since there are four cards of each number from 2 to 10, there are four 7s in total.
Now, let's find out how many cards are in the whole deck. Since each card has its own unique personality and doesn't like to be excluded, we have to include all 52 of them.
Dividing the number of 7s (4) by the total number of cards (52), we get a probability of:
4/52 = 1/13
So, the probability of picking a 7 from a standard deck is 1/13. Remember, though, that in the wacky world of statistics, probabilities can sometimes be as unpredictable as a clown on stilts!
To find the probability of picking a 7 from a standard deck of 52 cards, we need to determine the number of favorable outcomes (number of 7s in the deck) and divide it by the total number of possible outcomes (total number of cards in the deck).
1. Determine the number of favorable outcomes:
A standard deck includes 4 cards of each number from 2 to 10. Therefore, there are 4 7s in the deck.
Number of favorable outcomes = 4
2. Determine the total number of possible outcomes:
A standard deck of 52 cards has 52 possible outcomes.
Total number of possible outcomes = 52
3. Calculate the probability:
The probability of an event occurring is defined as the number of favorable outcomes divided by the number of total outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Calculating the probability of picking a 7:
Probability = 4 / 52
Simplifying the fraction:
Probability = 1 / 13
Therefore, the probability of picking a 7 from a standard deck of 52 cards is 1 in 13, or approximately 0.0769 (rounded to four decimal places).
To determine the probability of picking a 7 from a standard deck of 52 cards, we need to know the total number of possible outcomes and the number of favorable outcomes.
Total Number of Outcomes:
In a standard deck of 52 cards, there are 4 suits (hearts, diamonds, clubs, and spades), and each suit contains 13 cards (Ace, 2 to 10, Jack, Queen, and King). Therefore, the total number of possible outcomes is 52.
Number of Favorable Outcomes:
Since there are 4 cards of each number from 2 to 10 in a standard deck, the number of favorable outcomes is 4.
Probability:
The probability is typically calculated by dividing the number of favorable outcomes by the total number of outcomes.
P(7) = Number of favorable outcomes / Total number of outcomes
P(7) = 4 / 52
Simplifying the fraction, we get:
P(7) = 1 / 13
Therefore, the probability of picking a 7 from a standard deck of 52 cards is 1/13, or approximately 0.077 or 7.7%.