00:01
Hello students, given that there are 26 black cards and 26 red cards, therefore the total card is 52 cards.
00:16
Now, if two cards are randomly pulled from the deck, then the total number of possible outcomes is, total number of possible outcomes is 52 c2.
00:40
A red card can be drawn from 26 cards in 26 c1 ways, 26 c1 ways and a black card can be chosen from 26 black cards in 26 c1 ways, 26 c1.
01:14
Now, therefore the favorable number of outcomes of obtaining a red card and a black cards is, favorable number of outcomes is 26 c1 into 26 c1, which is equal to 26 into 26.
01:48
Therefore, the required probability is, required probability is equal to 26 into 26 divided by total number of outcomes, which is 52 c2, which is equal to required probability is 26 by 59.
02:20
Now, in 7th question, if a coin is tosed and a die is drawn at the same time, in a part we want to find the sample space.
02:41
If a coin is tosed, then the sample space will be h, t.
02:48
If a die is rolled, the sample space will be 1, 2, 3, 4, 5, 6.
02:57
Now, if the sample is tosed and a die is rolled at the same time, then the sample space will be s is equal to h1, h2, h3, h4, h5, h6, t1, t2, t3, t4, t5, t6.
03:44
This is the sample space.
03:46
Now, in b part of the question, we want to find the probability that one gets a tail and a number 6.
04:03
Total number of possible outcomes is n is equal to 12...