Question

A card is selected from a standard deck of cards. What is the probability of selecting a King or an even card?

Answer 1

Given:

A card is selected from a standard deck of cards.

Required:

We need to find the probability of selecting a King or an even card.

Step-by-step explanation:

The sample space =the total number of cards = 52.

`n(S)=52`

Let A be an event of selection a king.

The number of cards that is king = 4.

The favourable outcomes =The number of the card king

`n(A)=4`

The probability of selecting a king

`P(A)=(n(A))/(n(S))=(4)/(52)`

Let B be an event of selection an even card.

There are 5 even values (2,4,6,8,10) and 4 of each in the deck.

The number of cards that is even card=20.

The favourable outcomes =The number of the even card

`n(B)=20`

The probability of selecting an even card

`P(B)=(n(B))/(n(S))=(20)/(52)`

The probability of selecting a King or an even card is

`=P(A)+P(B)`
`=(4)/(52)+(20)/(52)=(24)/(52)`
`=(6)/(13)`

Final answer:

The probability of selecting a King or an even card 6/13.