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Humans can be one of four blood types: A, B, AB, or O. Here is a table showing the approximate breakdown of blood types in

Humans can be one of four blood types: A, B, AB, or O.

Here is a table showing the approximate breakdown of blood types in the United States:

Blood Type: A B AB O
P(Blood Type in US) 0.43 ? 0.03 0.46

Here is a table showing the approximate breakdown of blood types in the United Kingdom:

Blood Type: A B AB O
P(Blood Type in the U.K.) 0.37 0.1 0.04 0.49

For all questions below, you may assume that the blood type of an individual in the US and the blood type of an individual in the UK are independent of each other.

  1. If you were to choose one person at random from the US and another person at random from the UK, what is the probability that they will both have blood type A?
  2. If you choose a person at random from the US and a person at random from the UK, what is the probability that neither will be of blood type O?
  3. If you choose three people at random from the US, what is the likelihood that none of them are of blood type B?
  4. If you choose two people at random, what is the probability that both have the same blood type?

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