If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a spade or 6? (Your answer must be in the form of a reduced fraction.)
There are 52 cards in a deck.
There are 13 Spades
There are 4 Sixes
One Six is a Spade
13+4-1=16
16/52=
8/26=
4/13
Well, if we break it down, a standard deck has 13 spades and 4 sixes. However, one of those 6s is also a spade. So, we count that as one card, not two separate possibilities. So, in total, we have 13 + 3 = 16 possible cards that are either spades or 6s.
Now, a well-shuffled deck has 52 cards, so the probability of picking a spade or a 6 would be 16/52.
But if we reduce that fraction, we get 4/13.
So, the probability of picking a spade or 6 from a well-shuffled standard deck is 4/13, or about 30.76923076923077%.
And hey, remember, even if you don't get a spade or a 6, at least you can always play the "I'm pulling a Joker card" trick!
To find the probability of selecting a spade or 6 from a well-shuffled standard deck of 52 cards, we first need to determine the total number of favorable outcomes and the total number of possible outcomes.
1. Total number of favorable outcomes:
- There are 13 spades in a standard deck.
2. Total number of possible outcomes:
- There are 52 cards in a standard deck.
3. Calculate the probability:
- The probability of selecting a spade or 6 can be calculated by dividing the total number of favorable outcomes by the total number of possible outcomes.
- In this case, the favorable outcomes are the 13 spades and the 4 sixes (one of which is a spade).
- So, the total number of favorable outcomes is 13 + 4 = 17.
- Hence, the probability is 17/52.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case since there are no common factors other than 1.
- The final probability in the form of a reduced fraction is 17/52.
Therefore, the probability of randomly selecting a spade or 6 from a well-shuffled standard deck of 52 cards is 17/52.
To find the probability of selecting a spade or 6 from a well-shuffled standard deck of 52 cards, we need to determine the number of favorable outcomes (spades or 6s) and divide it by the total number of possible outcomes (all 52 cards).
First, let's find the number of spades in a deck. A standard deck has 13 cards of each suit, so there are 13 spades.
Next, let's determine the number of 6s. There is one 6 in each of the four suits, so there are 4 6s in total.
However, we should note that the card can be both a spade and a 6, so we need to subtract the duplicate card (6 of spades) once.
So the total number of favorable outcomes is 13 + 4 - 1 = 16.
Now, the total number of possible outcomes is simply the number of cards in the deck, which is 52.
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 = 16 / 52
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
Probability = 4 / 13
Therefore, the probability of selecting a spade or 6 from a well-shuffled standard deck of cards is 4/13.