Allen J.

asked • 10/15/15

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A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is not replaced. Find the probability of randomly choosing two fashion magazines.

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Allen, either my computer isn't showing me the whole question, or you didn't enter the whole question. My screen shows "After a magazine is not replaced." This isn't enough information. If you didn't enter the entire question, please do so, so we can help you.
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10/15/15

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Inactive Tutor answered • 10/15/15

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Hi Allen,
 
Probability without replacement means we have dependent events, which means that we multiply the probabilities of each individual event happening in order to determine the probability of ALL events happening.
 
Let's apply this understanding to our problem:
    1.  Probability of 1st event (P1) happening:
             P1 = 10/(5+7+10)
             P1 = 10/22
             P1 = 5/11
    2.  Probability of 2nd event (P2) happening:
             P2 = (10-1)/(5+7+9)
             P2 = 9/21
             P2 = 3/7
    3.  Probability of both events (Pe) happening:
             Pe = (P1)(P2)
             Pe = (5/11)(3/7)
             Pe = 15/77 (our answer)
 
Thanks for submitting this problem and glad to help.
 
God bless, Jordan.
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