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Probability, SMB-011

Tay-Tay has 2 bags of apples.

Bag A contains 4 red apples and 3 green apples. 

Bag B contains 3 red apples and 1 green apple.

Tay-Tay chooses one of the bags randomly and with her eyes closed, takes one of the apples. 

  1. Complete the tree diagram below.   (2 marks)
     

    --- 0 WORK AREA LINES (style=lined) ---

  2. Determine the probability that Tay-Tay chooses a red apple?   (2 marks) 

    --- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

i.    
       

ii.    `37/56`

Show Worked Solution

i.    
       
 

ii.     `Ptext{(red)}` `=1/2 xx 4/7 + 1/2 xx 3/4`
    `=37/56`

Filed Under: Multi-Stage Events Tagged With: num-title-ct-corea, smc-4238-10-Dependent events, smc-4238-50-Probability trees

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