Respuesta :
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
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