Jenelle draws one card from a standard deck of 52 cards. Determine the probability of drawing either a jack or a ten? Write your answer as a reduced fraction=

Determine the probability of drawing either a jack or a diamond? Write your answer as a reduced fraction= ​

13

+

4

−

1

52

=

16

52

=

4

13

≈

0.3077

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 7.

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 sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.

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