Q. 155.0( 2 Votes )

Two cards are drawn from a well-shuffled pack of 52 cards. Find the probability distribution of the number of aces.

Answer :

In a deck of 52 cards, there are 4 aces each of one suit respectively.


Let X be the random variable denoting the number of aces for an event when two cards are drawn simultaneously.


X can take values 0, 1 or 2.


P(X = 0) =


[For selecting 0 aces, we removed all 4 aces from the deck and selected out of 48]


P(X = 1) =


[For selecting 1 ace, we need to select and 1 out of 4 and not any other]


P(X = 2) =


[For selecting 2 aces, we need to select and 2 out of 4]


Now we have pi and xi.


As


Thus, ∑(pi) = 1


Now we are ready to write the probability distribution for X:-


The following table gives probability distribution:


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :