00:01
So let us start with the concept which we are going to use here for this question.
00:06
So let's suppose if we are given n number of things, we have to choose the r number of things from that.
00:12
So we can use the combination formula which is equal to the n factorial over n minus of r factorial multiplied by the r factorial.
00:23
So according to the question we have to find out the probability of getting that is the exactly three queens and three jacks from the 52 deck of the cards.
00:36
So let us suppose a be the event of choosing the three cards of a queen.
00:44
Similarly, let's b be the event of choosing the three cards of jack.
00:51
And also we have to consider the third state in which we don't select any kind of queen and jack so that we can multiply it with so that we will get the complete probability right.
01:02
So the two cards of other than other than queen and jack right.
01:10
So let's calculate this all one by one.
01:16
So number of ways that we can choose the three cards of queen number of ways that we can choose three cards of a queen would be equals to.
01:39
So we are having the four queens.
01:41
We have to choose the three one.
01:43
So it will simply become four c three and according to formula which will come four factorial over four minus of three factorial over the four factorial.
01:54
So obviously sorry three factorial.
01:57
So obviously it will comes out equals to how much that is full...