Question

There are 4 jacks and 13 clubs in a standard 52 card deck of playing cards what is the probability that a card picked at random from a standard deck of playing cards is a club or a jack

Answer 1

the answer is 4/13 , hope this helped :)

Answer 2

`P(A\cup B)=(4)/(13)`

Explanation:

Given:

Total number of cards = 52

Number of jacks = 4

Number of club cards = 13

Number of jacks and club cards = 1

Let event A represents the jack and event B represents the club card.

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

`P(B)=(13)/(52)`

`P(A\cap B)=(1)/(52)`

The formula for probability of union is

`P(A\cup B)=P(A)+P(B)-P(A\cap B)`

`P(A\cup B)=(4)/(52)+(13)/(52)-(1)/(52)`

`P(A\cup B)=(4+13-1)/(52)`

`P(A\cup B)=(16)/(52)`

`P(A\cup B)=(4)/(13)`

Therefore, the probability of a jack or club card is
`(4)/(13)`.