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1. The probability that you will not be assigned weekends is 4/49

   For given question,

   A supervisor assigns you 5 evenings out of 7 possibilities.

   so, you will not be assigned 2 evenings out of  7 possibilities.

   Let event A:  you will not be assigned on Saturday

   event B:  you will not be assigned on Sunday

   Using probability formula,

   The probability that you will not be assigned on Saturday = 2/7

   ⇒ P(A) = 2/7

   Similarly using probability formula,

   the probability that you will not be assigned on Sunday = 2/7

   ⇒ P(B) = 2/7

   We need to find the probability that you will not be assigned weekends.

   P(A∩B) will represent the probability that  you will not be assigned on both days (weekends)

   P(A ∩ B) = P(A) × P(B)

   Substituting values,

   ⇒ P(A ∩ B) = 2/7 × 2/7

   ⇒ P(A ∩ B) = 4/49

   Therefore, the probability that you will not be assigned weekends is 4/49

   Learn more about the probability here:

   https://brainly.com/question/3679442

   #SPJ4

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