Dari R.

asked • 04/15/14

A student chooses a red marble from a Bag and Then chooses another red marble without replacing the first. is it independent or dependent ?

Is this independent or dependent ? 

2 Answers By Expert Tutors

By:

TrungThanh B. answered • 04/15/14

Tutor
5 (12)

Math and Science Tutor

Parviz F.

No it is not:
  
  Let's take your assumption that there are 10 marbles of red and Blue 5 of each
 
  A - first draw be red
  B - 2nd draw be red ,then:
 
   Probability of 2nd draw to be red:
      
    A . B + A. B
    1/2 . 5/9 + 1/2 .4/9 = 5/18 + 4/ 18 = 9/18 = 1/2
 
     So the Probability of drawing Red marble without replacements is first draw or 2nd draw is the same 1/2.
     therefore the events are independent.
    probabilty Drawing 
 
 
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04/15/14

Parviz F. answered • 04/15/14

Tutor
4.8 (4)

Mathematics professor at Community Colleges

Parviz F.

Probability of drawing Queen of Spades from a deck of cards of 52 without replacement in first draw or 2nd draw is the same. Whether gamblers believe or don't . That is how probability theory works by giving equal probability to all states that have possibility of occurrence, per the the above explanation and proof..
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04/15/14

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