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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