In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation. Since there are four jacks in a deck of 52 cards and, likewise, four "fives", the odds of drawing either a jack or a "five" are 8/52 or two in thirteen. The probability of drawing a Jack is one in thirteen. The probability of drawing a "five" is one in thirteen. View Discussion Improve Article Save Article Like Article View Discussion 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. 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) P (A ∣ B) = P (A ∩ B) / P (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:
Answer:
Similar QuestionsQuestion 1: What is the probability of getting a jack or black card? Solution:
Question 2: What is the probability of getting a queen or a card of diamonds? Solution:
Question 3: What is the probability of getting a jack or a red card?
Brian S. What is the probability of drawing a Jack from a deck of 52 cards? If the two Jokers are placed into this deck of cards, how does that change the probability of the drawing? 1 Expert Answer If there are 52 cards, and 2 of them are Jacks, the probability of drwaing a Jack is 2 out of 52, because there are 2 Jacks out of the 52 cards you have total. (You can reduce the fraction 2/52 to 1/26 by dividing both the numerator and denominator by 2/2 which equals 1, because 2/2 is a factor of 1, and the only factor of 1 is 1 itself, so the 2/2 you are dividing by is really 1, so you are not changing the fraction 2/52.) If there are no Jacks in a pile of 52 cards, and 2 cards of Jacks are added, then your probability to randomly draw out a Jack will decrease because there are more cards to choose from. This decreases the probability to 2 out of 54 (or 2/54) which is equal to out of 27, or 1/27, if you divide the numerator and denominator of 2/54 by 2/2. If there are 2 Jacks in a pile of 52 cards already, and you add two more Jacks, then your probablilty of drawing out a Jack is 4 out of 54 (or 4/54), and when you divide the numerator and denominator by 2/2 (because it's a factor of 1, so you don't change the equation), you get 2/26. 2 out of 26 is greater than the original 1 out of 26, and also greater than 1 out of 27. (Because 27 is greater than 26, there are fewer chances to draw out the one card that is a Jack from the pile of 27 cards.) 2 out of 26 is also greater than the 1 out of 26, because you have two chances out of 26 to draw a jack rather than one. So 1 out of 27 is less than 1 out of 26, which is less than 2 out of 26. |