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dmitriy555 [2]
2 years ago
13

What is the probability of drawing a 9 or diamond from a standard deck of cards?

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
4 0

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.

In all we get:

13+4 - 1/52 =

≈  16/52

=4/13

Answer: 0.3077

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Suppose we went to choose 2 letters without replacement from 3 letters a b and c
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Answer:

6 ways -  ab,ac, ba,bc and ca,cb

Step-by-step explanation:

We are given 3 letters a,b,c.

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Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in  2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.

Listing out the possible set of choices:

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3 years ago
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