There are 12 red balls and 7 blue balls in a non-transparent black bag. What is the least number of balls we need to take out to be certain we have two blue balls?

Respuesta :

From the information given, it is found that the least number of balls we need to take out to be certain we have two blue balls is 14.

  • In the bag, there are 12 + 7 = 19 balls, of which 12 are red and 7 are blue.
  • The balls are chosen without replacement, that it, they are removed from the bag, and not placed back.
  • In theory, we could pick 12 balls, and all 12 being red, while also 13, with 12 red and 1 blue.
  • Thus, at least 14 balls are needed to guarantee that there are at least 2 blue.

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