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Suppose in a small town in Russia, the probability of having sunny weather on a given day is 0.65, and the probability of having cold

  • Suppose in a small town in Russia, the probability of having sunny weather on a given day is 0.65, and the probability of having cold weather is 0.8. The probability of the weather being both sunny and cold is 0.6.
    • What is the probability of having sunny or cold weather?
    • If a resident of this town looks outside and sees that it is sunny, what is the probability that it is cold outside?
    • In words, explain why the probability in b is different from the given probability of being both sunny and cold.
    • If a resident of this town sees on the news that it is cold outside, what is the probability that it is sunny?

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