00:01
Hello everyone.
00:02
In this question they are asking the find the probability that your poker hand contains use the principle of inclusion and exclusion when possible here they have given five statements now start with one first one in here we take since there are four suits we select a suit in four divided with one base and then and then from selected suit we select five cards, five cards in 13 by five ways.
01:02
Hence total number of cases favorable to event that a poker hand contains only one suit.
01:26
To event that a poker hand contains only one suit that we take it as 4 divisible by 1, 13 divisible by 5, 4 divisible by 52 divisible by 5 then here we have an value 0 .0020 rather this in b in b let a be an event a b a is an event a is a event that a poker hand contains all spades and b b an event contains all spades of a poker hand and here, b, be an event, a poker hand, a poker hand contains hearts.
02:56
Then since a and b are mutually exclusive, p, a union b, that equals to 3 of a plus 3 of b that equals to 13 divisible by 5 13 divisible by 5 whole divisible by 52 divisible by 5 then here we get a value that is 0 .0010 next here in c let a b and ea let a be an event, that a poker hand, that a poker hand contains two spades, end, b be an event, b be an event that a poker, that a poker, hand contains no heart, contains no heart then it's p a of p intersection b per c then here we take p of a minus p of a intersection b then here we have 39 divisible by 3 multiply with 13 divisible by 2 this whole divisible with 52 divisible by 5 minus 26 divisible by 3 13 divisible by 2 this whole multiply with 52 divisible by 5 that's equal to here we get an answer that is 0 .1962 now in last one a be a event that a poker hand contains at least 1 a a in b be an event a poker hand contains at least one king at least one king p of a intersection b that's equals to 4 divisible by 1 multiply with 4 divisible by 1 that multiply with 44 divisible by three, this whole divisible by 52 diversed by 5, plus 2 divisible by 1, 4 divisible by 1, 4 divisible by 2, 44 divisible by 2, 4 divisible by 2, whole divisible with 52, divisible by 5, plus 2 every 2 divisible by 1.
06:42
4 divisible by 1, 4 divisible by 3.
06:48
Antiply with 4 24 divisible by 1...