 Hello and welcome to the session. Let us discuss the following question. It says a card is selected from a pack of 52 cards How many points are there in the sample space? We calculate the probability that the card is an ace of spades Calculate the probability that the card is an ace number two the black card Before moving on to the solution, let us understand the formula for the probability of any event E Which is the subset of the sample space the probability of any event E is Equal to the number of outcomes favorable to E Upon the total number of outcomes the idea. Let us now move on to the solution We have given that a card is selected From a pack of 52 cards. So the total number of cards are 52 the first part we are asked how many points are there in the sample space now We know that the sample space is the set of all the possible outcomes. So we have We have 52 cards. So We have 52 points in the sample space and this is the answer to the a part Now we have to calculate the probability that the card is an ace of spades Now there are four ace But there can be only one ace of spades So here is the event of getting an ace of spades and the number of outcomes Favorable to E is equal to 1 because there can be only one ace which is spade So there is only one outcome, which is favorable to E the probability of an ace of Spades equal to the number of outcomes favorable to E Upon the total number of outcomes as we know that there are 52 cards So the total number of outcomes are 52. So the probability is 1 by 52 Now in the C part we have to calculate the probability that the card is an ace now there are four ace Here E is the event of getting so the number of outcomes favorable to E is equal to 4 because there are four ace So the probability of Getting an ace is 4 by 52 That is the number of outcomes favorable to E upon the total number of outcomes Now in the second part we have to find the probability of getting a black card So here E is the event of getting Black card and we know that there are 26 Outcomes favorable to E because there are 26 black cards So the probability of getting a black card equal to 26 by 52 because there are 26 black cards and the total number of black cards are 52. So the probability is 26 by 52 which is equal to 1 by 2 So the answer to the A part of the question is there are 52 points in the sample space to the B part answer is 1 by 52 that is the probability of getting an ace of spades and Answer to the first part of C is 4 by 52 which is equal to 1 upon 13 and To the second part answer is 1 by 2 And this completes the question. Bye for now. Take care. Have a good day