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Probability that it does not snow either day is [tex]\frac{13}{144}[/tex]
"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."
We have
The Probability that it will snow on Monday is [tex]\frac{8}{9}[/tex]
The Probability that it will snow on Tuesday is [tex]\frac{3}{16}[/tex]
According to the question,
The probability that it does not snow on Monday = 1 - [tex]\frac{8}{9}[/tex] = [tex]\frac{1}{9}[/tex]
The probability that it does not snow on Tuesday = 1 - [tex]\frac{3}{16}[/tex] = [tex]\frac{13}{16}[/tex]
So, the probability that it does not snow either day
= [tex]\frac{1}{9}[/tex] ×[tex]\frac{13}{16}[/tex]
= [tex]\frac{13}{144}[/tex]
Hence, Probability that it does not snow either day is [tex]\frac{13}{144}[/tex] .
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