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A study undertaken by the Miami-Dade Supervisor of Elections in 2002 revealed that 44% of
registered voters are Democrats, 37% are Republicans, and 19% are others. If two registered
voters are selected at random, find the following probability:
One of them is a Democrat and another one is a Republican.
Solution
Here we have following probabilties:
P(democrats)=0.44
P(republicans)=0.37
P(others)=0.19
Since voters are independent from each other so the probabilityOne of them is a Democrat and
another one is a Republican is
P(One of them is a Democrat and another one is a
Republican)=P(democrats)P(republican)=0.44*0.37=0.1628
hence, the required probability is 0.1628.

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A study undertaken by the Miami-Dade Supervisor of Elections in 2002.pdf

  • 1. A study undertaken by the Miami-Dade Supervisor of Elections in 2002 revealed that 44% of registered voters are Democrats, 37% are Republicans, and 19% are others. If two registered voters are selected at random, find the following probability: One of them is a Democrat and another one is a Republican. Solution Here we have following probabilties: P(democrats)=0.44 P(republicans)=0.37 P(others)=0.19 Since voters are independent from each other so the probabilityOne of them is a Democrat and another one is a Republican is P(One of them is a Democrat and another one is a Republican)=P(democrats)P(republican)=0.44*0.37=0.1628 hence, the required probability is 0.1628.