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Probability, SMB-014

A game consists of two tokens being drawn at random from a barrel containing 20 tokens. There are 17 red tokens and 3 black tokens. The player keeps the two tokens drawn.

  1.  Complete the probability tree by writing the missing probabilities in the boxes.  (2 marks)
     
     
       

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  2.  What is the probability that a player draws at least one red token? Give your answer in exact form.  (2 marks)

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Show Answers Only
  1.  
  2. `187/190`
Show Worked Solution
i.   

 

ii.   `P(text(at least one red))`

`= 1-P(BB)`

`= 1-3/20 xx 2/19`

`= 187/190`

Filed Under: Multi-Stage Events Tagged With: num-title-ct-pathb, smc-4238-10-Dependent events, smc-4238-50-Probability trees, smc-4238-70-Complementary events, smc-4238-80-"at least"

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