Question

Two cards are drawn at random from a pack of 52 cards. What is the parobality that one is a king and the other an. Ace

Answer 1

Solution::
Sample space(S)={1,2,3,4,5,6,7,8,9,............,52}
n(S)=52
let 'A' be event the two cards drawn are king and ace card.
A=4 X king card +4 X ace card
n(A)=8
P(A)=n(A) / n(S)
=8/52
=4/13

Answer 2

There are 52 cards in a pack.
n (s)=52
Let A be the event that the card drawn is a king.
A={king of diamond,king of hearts,king of spade,king of club}
n (A)=4
p (A)= n (A)÷n (s)
=4÷52
=1÷13
•
• • P (A)=1÷13

Let B be the event that the card drawn is an ace.
B={ace of diamond,ace of spades,ace of club,ace of hearts}
n (B)=4
p (B)=n (B)÷n (s)
=4÷52
=1÷13

Ans: The probability of getting a king is 1÷13
The probability of getting an ace is 1÷13