a single card is drawn from a deck. find the probability of selecting a 10 or a diamond.
13 diamonds + 3 other 10s = 16
16/52 = 4/13
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Well, well, well! If we want to find the probability of selecting a 10 or a diamond from a deck of cards, let's have some fun with math, shall we?
Let's break it down. A standard deck of cards has 52 cards, including 13 of each suit: diamonds, clubs, hearts, and spades. Among those 52 cards, we have four lovely 10s (one for each suit) and a whopping 13 pretty little diamonds.
So, let's count together: 4 + 13 equals 17. There are 17 cards in total that are either a 10 or a diamond.
Now, to find the probability, we just divide the number of favorable outcomes (the 17 cards we're interested in) by the total number of possible outcomes (the 52 cards in the deck).
Therefore, the probability of selecting a 10 or a diamond is 17/52, which simplifies to approximately 0.327, or about 32.7%.
Remember, though, probability doesn't guarantee results, just like telling a joke doesn't guarantee a laugh!
To find the probability of selecting a 10 or a diamond from a standard deck of cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Determine the number of 10s in the deck:
A standard deck of cards contains four 10s: the 10 of hearts, 10 of diamonds, 10 of clubs, and 10 of spades.
2. Determine the number of diamonds in the deck:
A standard deck of cards contains 13 diamonds: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king of diamonds.
3. Determine the number of cards that are either a 10 or a diamond:
To avoid counting the 10 of diamonds twice, we subtract 1 from the total count. Therefore, there are 13 + 4 - 1 = 16 such cards.
4. Determine the total number of cards in the deck:
A standard deck of cards contains 52 cards.
5. Calculate the probability:
The probability of selecting a 10 or a diamond is the number of favorable outcomes (16) divided by the number of possible outcomes (52):
Probability = 16 / 52
= 4 / 13
≈ 0.31 (rounded to two decimal places)
Therefore, the probability of selecting a 10 or a diamond from a standard deck of cards is approximately 0.31 or 31%.
To find the probability of selecting a 10 or a diamond from a deck of cards, we need to determine the number of favorable outcomes (cards that are either a 10 or a diamond) and divide it by the number of possible outcomes (total number of cards in the deck).
In a standard deck of 52 playing cards, there are 4 suits (hearts, diamonds, clubs, and spades) with 13 cards in each suit. So, there are 52 cards in total.
Now, let's determine the number of favorable outcomes:
Number of 10s: In each suit, there is only one 10 (10 of hearts, 10 of diamonds, 10 of clubs, and 10 of spades). Therefore, there are 4 10s in total.
Number of diamonds: There are 13 cards that are diamonds in the deck.
However, we have counted the 10 of diamonds twice, once as a 10 and once as a diamond. To avoid double counting, we need to subtract one of the 10s from the total number of diamonds.
So, the total number of favorable outcomes is 4 (number of 10s) + 13 (number of diamonds) - 1 (double counted 10 of diamonds) = 16.
The number of possible outcomes is 52 (total number of cards in the deck).
Now, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:
Probability = Number of favorable outcomes / Number of possible outcomes
= 16 / 52
= 4 / 13
Therefore, the probability of selecting a 10 or a diamond from a deck of cards is 4/13 (approximately 0.308 or 30.8%).