Question 984240
You draw nine cards from a standard deck of cards. What is the probability that 

Let X = number of red cards drawn
Hypergeometric distribution can be used to solve this problem.

a. four or more will be red? 

P(X ≥ 4) = {{{sum((matrix(2,1,26,x))(matrix(2,1,26,9-x))/((matrix(2,1,52,9))), x=4,9)}}} = {{{highlight(0.7673)}}}
            
b. exactly two or three will be red? 
P(X=2) + P(X = 3) = {{{sum((matrix(2,1,26,x))(matrix(2,1,26,9-x))/((matrix(2,1,52,9))), x=2,3)}}} = {{{highlight(0.2208)}}}

c. two or fewer will be red? 
P(X ≥ 2) = {{{sum((matrix(2,1,26,x))(matrix(2,1,26,9-x))/((matrix(2,1,52,9))), x=0,2)}}} = {{{highlight(0.0700)}}}

d. exactly five will be red?
P(X = 5) = {{{(matrix(2,1,26,5))(matrix(2,1,26,9-5))/((matrix(2,1,52,9)))}}} = {{{highlight(0.2673)}}}