00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Now let me bring up your question here.
00:06
In the question, a standard deck of playing cards consists of fit two cards.
00:12
Each card has a rank and a suit.
00:16
There are 13 possible ranks from 2 up to the ass, 4 possible suits, space, gloves, heart and diamonds.
00:25
And 13 cards for each suit, one of each rank.
00:30
And now we will have in the part a, want to find the probability that a hand of the seven card contains seven cat on the same suit.
00:43
And here we want to find the probability that we have the seven count contain the same suit.
00:52
Seven card of same suit.
01:00
And this one's general proportion where the denials.
01:03
Denominator will be the number of the ways we can choose seven cards out of the 52 card so the number of the ways new is in the combination from the 52 card we will choose seven now from the proper being to the seven card out of the same suit first we have to choose one suit we want here and the spade club heart and diamond because we have four suits here so we have from four suit we will choose one four full suit first and from the one suit we will choose seven cards on the same suit so it will be from one suit we have the 13 card we will choose seven and then we compute this one we have the four times 13 27 divided by 52 27 get equal to the 0 point 0 0 0 0 513 that's going be the answer for the part a and then for the part b we want to find the probability that a hand up seven card contained four card under one rank and then three cards on the second rank now we see that there are totally 13 possible ranks and first this one again from the total number of the ways we have the 50 to 7.
02:59
Now to get the forecast on the first rank, we first want to choose from the set of the 13 possible ranks, we will choose one of them first...