Question

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction

Answer 1

`Pr = (1)/(26)`

Explanation:

Given

In a deck of card, we have:

`Cards = 52`

`King[Heart] = 1`

`Queen[Spade] = 1`

Required

The probability of obtaining a king of heart or a queen of spade.

The probability of king of heart is:

`P(King[Heart]) = (n(King[Heart]))/(Cards)`

`P(King[Heart]) = (1)/(52)`

The probability of queen of spade is:

`P(Queen[Spade]) = (n(Queen[Spade]))/(Cards)`

`P(Queen[Spade]) = (1)/(52)`

The required probability of obtaining a king of heart or a queen of spade. is:

`Pr = P(King[Heart]) + P(Queen[Spade])`

`Pr = (1)/(52)+ (1)/(52)`

Take LCM

`Pr = (1+1)/(52)`

`Pr = (2)/(52)`

Simplify

`Pr = (1)/(26)`