Question

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.

Answer 1

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`