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dward has four pearls – two white and two black – which he can distribute as he chooses between two identical bags. He must then choose a bag at random and pick one pearl at random from the bag he chose. If Edward distributes the pearls so as to maximize his chances of pulling a black pearl, what is the probability that Edward will pick a black pearl?

A. 1/2
B. 3/5
C. 2/3
D. 3/4
E. 1

Respuesta :

sahinbinici

Answer:

Answer is 3/4

Step-by-step explanation:

Edward can distrubute pearls to 2 identical bags as fallows:

  • 2W for one bag and 2B for another bag. In this scenerio the probability of picking a black pearl is 1/2.
  • 1W and 1B for one bag and 1W and 1B for another bag. In this situation the probability of picking a black pearl is 1/2 × 1/2 is equal to 1/4
  • At the end, the sum of two scenerio is 1/2 + 1/4 = 3/4

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