By Team Aakash Byju's | 29th October 2022
When two cards are drawn from a pack of 52 cards, the probability that one of them is a red card & the other is a queen is
1326
193
P(red) & P(queen) =
1326
193
We know that a standard 52-card deck has 4 suits, with each suit having 13 cards of clubs(black), spades(black), diamonds(red) and hearts(red).
Each suit includes 3 face cards, a King, a Queen and a Jack, and they are double-headed.
So, there are 13+13 red cards and a total of 4 Queens.
P (Red) =
P (Queen) =
26
52
=
1
2
4
51
3
51
+
=
7
51
Firstly, if the first card is red and the second card is heart, then:
(Because, if the first red card was heart then there will 3 hearts left for the second pick)
Secondly, if the first card is here and the second card is red, then:
(Because, if the first picked heart is red coloured then for the second pick, we will have only 25 red cards)
P(Q)
P(R)
Now, combine both conditions to get the required probability.
P(R or Q)
P(R or Q)
P(R or Q)