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A bag contains 8 black, 5 white, and 7 pink identical bottles. Two bottles are picked at random one after the other with replacement. a) What is the probability that they are both pink?

Mathematics

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Here are the solutions to questions 11, 12, 13, and 36.

Part 11

A bag contains 8 black, 5 white, and 7 pink identical bottles.
Total number of bottles =8+5+7=20= 8 + 5 + 7 = 20.
Two bottles are picked at random one after the other with replacement.

Part a· 2 steps

They are all pink?

  1. Calculate the probability of picking a pink bottle.

    P(pink)=Number of pink bottlesTotal bottles=720P(\text{pink}) = \frac{\text{Number of pink bottles}}{\text{Total bottles}} = \frac{7}{20}
  2. Since the picking is with replacement, the

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