00:01
In this question, we are given a standard deck of 52 playing cards.
00:05
A 13 card bridge hand is randomly dealt and without replacement.
00:10
In part a, one of the five probability, the hand consists of six spades, four hearts, two diamonds and one club.
00:17
So take note that all these cards are dealt without replacement.
00:24
And that after they are dealt, there are no particular arrangements to that.
00:28
So the order of selection is not important.
00:36
Replacement order not important we're looking at the concept of combination.
00:41
That is if i have n distinct cards and i want to choose r of them it will be n factorial over r factorial times n minus r factorial.
00:52
So in this case from the 13 spake cards we have we will choose 6.
00:59
N.
01:00
Now n is times or is plus n so there's times from the 13 hard cuts we will choose 4, and from the 13 diamonds we will choose 2 and from the 13 club we will choose 1.
01:16
Now probability always divide by the total number of ways in which 13 cards can be selected without any restriction and that will be 52 choose 13...