Text Solution Show Solution : Let S denote the sample space. Them, n(S) = 52. <br> (i) Let `E_(1) =` event of drawing a red card which is a king. <br> We know that the number of red kings is 2. So, `n(E_(1)) = 2.` <br> `therefore` P(getting a red king) `= P(E_(1)) = (n(E_(1)))/(n(S)) = 2/52 = 1/26.` <br> (ii) Let `E_(2) =` event of drawing a card which is either red or a king. There are 26 red cards (including 2 red kings) and there are 2 more kings. <br> `therefore n(E_(2)) = (26 + 2) = 28` <br> `therefore` P(getting a red card or a king) `= P(E_(2)) = (n(E_(2)))/(n(S)) = 28/52 = 7/13.` Improve Article Save Article Like Article Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty. The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2. So, the probability of an event is Favorable outcomes/Total number of outcomes. It is denoted with the parenthesis i.e. P(Event).
What is Sample Space? All the possible outcomes of an event are called Sample spaces. Examples-
Types of EventsIndependent Events: If two events (A and B) are independent then their probability will be P(A and B) = P (A ∩ B) = P(A).P(B) i.e. P(A) * P(B)
Mutually exclusive events:
Not Mutually exclusive events: If the events are not mutually exclusive then
What is Conditional Probability? For the probability of some event A, the occurrence of some other event B is given. It is written as P (A ∣ B)
Example- In a bag of 3 black balls and 2 yellow balls (5 balls in total), the probability of taking a black ball is 3/5, and to take a second ball, the probability of it being either a black ball or a yellow ball depends on the previously taken out ball. Since, if a black ball was taken, then the probability of picking a black ball again would be 1/4, since only 2 black and 2 yellow balls would have been remaining, if a yellow ball was taken previously, the probability of taking a black ball will be 3/4. Some points related to Cards:
What is the probability of getting a king from a well-shuffled deck of 52 cards?Solution:
Similar QuestionsQuestion 1: What is the probability of getting a queen? Solution:
Question 2: What is the probability of getting a queen or a king? Solution:
Question 3: What is the probability of getting a face card? Solution:
|