Probability of Black and Even Number

Spades

2

4

6

8

10

Clubs

2

4

6

8

10

There are 10 outcomes in the sample space that are both black and even, thus

P(Black and Even Number) = 10/52 = 5/26 = approximately 0.192 as a decimal or 19.2% as a percent

Louis Alain P.

asked • 11/13/20An ordinary deck of cards contains 52 cards divided into four *suits*. The *red suits* are diamonds (◆) and hearts (♥), and the *black suits* are clubs (♣) and spades (♠). Each suit contains 13 cards of the following *denominations:* 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). The cards J, Q, and K are called *face cards*.

Imagine choosing a card at random from a thoroughly mixed deck. Consider the event that the chosen card is black and has an even number on it.

What is the probability of this event?

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Probability of Black and Even Number

Spades

2

4

6

8

10

Clubs

2

4

6

8

10

There are 10 outcomes in the sample space that are both black and even, thus

P(Black and Even Number) = 10/52 = 5/26 = approximately 0.192 as a decimal or 19.2% as a percent

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