Assume that there are 5 different issues of Popular Science, 4 different issues of Time, and 2 different issue?

Assume that there are 5 different issues of Popular Science, 4 different issues of Time, and 2 different issues of Newsweek, including the December 1st issue, on the rack. You choose 4 of them at random.



1) What is the probability that you choose 1 issue of Popular Science and 3 issues of Time?



(2) What is the probability that you choose at least 3 of the Time magazines?Assume that there are 5 different issues of Popular Science, 4 different issues of Time, and 2 different issue?
1) What is the probability that you choose 1 issue of Popular Science and 3 issues of Time?

Pr = 5C1 x 4C3x 2C0 / 11C4

= 4 *4 *1/ 11!/7!4!

= 16 / 330

= 8 / 165



(2) What is the probability that you choose at least 3 of the Time magazines?

Pr ( at least 3 of the Time magazines)



= Pr ( at 3 of the Time magazines) + Pr ( 4 Time magazines)



= [ 4C3 x 7C1 + 4C4 x 7C0 ] / 11C4



= ( 4*7 + 1*1 ) / 330



= 29 /330

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