What is the probability of choosing one card at random from a well shuffled deck of 52 cards which is either king or not queen?

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.

Let S be the sample space of drawing a card from a well-shuffled deck.

`n(S)=""^52C_1=52`

There are 4 king and 4 queen cards in a deck.

So there are 4 4 =8 cards which are either king or queen.

a card which is either a king or a queen can be drawn in ` ""^8C_1=8`

Probability of drawing a card which is either a king or a queen=8/52=2/13

Concept: Basic Ideas of Probability

Is there an error in this question or solution?

1) 1/13

2) 2/13

3) 3/13

4) 4/13

Solution: Option (2) 2/13

In a pack, total number of cards = 52

Total number of kings in a pack = 4

Total number of queens in a pack = 4

The probability of getting a king in a pack = 4/52 = 1/13

The probability of getting a king Queen in a pack = 4/52 = 1/13

The probability that it is either a king or a queen = Probability of getting king + probability of getting queen

= (1/13) + (1/13)

= 2/13

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