The probability is 286 20825.
The probability of drawing three diamonds and one spade from a well-shuffled deck of 52 cards is about 0.0137 or 1.37%.
The subject of this question is the probability in a deck of 52 cards. In a deck, there are 13 cards for each suit: diamonds, spades, clubs, and hearts. In drawing 4 cards, we want to find out the likelihood of picking 3 diamonds and one spade. This type of question deals with combinatorics and probability rules.
First, let's compute the number of ways we can draw 3 diamonds from 13. This is done through a combination, denoted as C(13,3), which equals 286. Next, the number of ways to draw one spade from the 13 available is C(13,1), which equals 13. Therefore, the total favourable outcomes are 286 x 13 = 3718.
Second, let's compute the total number of outcomes which is C(52,4) = 270,725. Therefore, the probability of obtaining 3 diamonds and one spade is 3718/270725, which simplifies to approximately 0.0137 or 1.37% when expressed as a percentage.
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Answer:
Step-by-step explanation:
WE need to find GCf for both monomials. GCF is the greatest common factor
GCF is 2 times 5 =10
GCF of exponent is the lowest exponent
GCF of m^4 and m^2 is m^2
GCF of n^7 and n^10 is n^7
GCF is
Answer: The sum will be given as
Step-by-step explanation:
Since we have given that
We just need to simplify and get the sum :
Hence, the sum will be given as