Playing cards

From 32 playing cards containing eight red cards, we choose four cards. What is the probability that just two will be red?

Correct answer:

p =  0.2109

Step-by-step explanation:

q=328=41=0.25  C2(4)=(24)=2!(42)!4!=2143=6  p=(24) q2 (1q)42=6 0.252 (10.25)42=128270.2109   Verifying Solution:   C2(8)=(28)=2!(82)!8!=2187=28  C2(24)=(224)=2!(242)!24!=212423=276  C4(32)=(432)=4!(324)!32!=432132313029=35960  p2=(432)(28) (224)=3596028 276=44959660.2149 p2  p

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Showing 1 comment:
Math student
I do not understand how you got 4*3 over 2*1 in the probability equation? Shouldn't it have been 4*3*2*1 over 2*1?

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