Astandard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. two cards are chosen from the deck at random.

which expression represents the probability of drawing a king and a queen?

The probability of drawing a king and a queen from a deck of 52 cards is

Further explanation:

The formula of combination can be expressed as,

The probability can be defined as the ratio of favorable number outcomes to the total number of outcomes.

Given:

A deck contains 52 playing cards.

Calculation:

Two cards are drawn from a deck of 52 cards.

The number of total possible outcomes can be obtained as,

Substitute 52 for n and 2 for r in equation ) to obtain the possible outcomes.

There are 4 kings and 4 queens in a deck of 52 cards.

Favorable number of outcomes can be obtained as,

The probability of drawing a king and a queen from a deck of 52 cards can be obtained as,

Hence, the probability of drawing a king and a queen from a deck of 52 cards is

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: picks, king, queen, possible, outcomes, select, combination, randomly picks, a deck contains 52 cards, aces, jacks.

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