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Bunuel
If the probability of snow is the same every day this week, what is the probability of snow on Saturday?

(1) The probability of snow on Monday is 1/7.
(2) The probability having of no snow on both Thursday and Friday is 36/49.

Target question: What is the probability of snow on Saturday?

Given: The probability of snow is the same every day this week

Statement 1: The probability of snow on Monday is 1/7.
If the probability of snow is THE SAME every day this week, then the probability of snow on Saturday is also 1/7
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The probability having of no snow on both Thursday and Friday is 36/49.
Let p = probability of snow on Saturday.
Since the probability of snow is the same every day this week, we know that p = probability of snow on Thursday and p = probability of snow on Friday.
Also, (1-p) = probability of NO SNOW on Thursday and (1-p) = probability of NO SNOW on Friday.

Statement 2 says: P(no snow on Thursday AND no snow on Friday) = 36/49
Rewrite as: P(no snow on Thursday) x P(no snow on Friday) = 36/49
Rewrite as: (1-p) x (1-p) = 36/49
Simplify: (1-p)² = 36/49
Solve: (1-p) = 6/7
So, p = 1/7
In other words, the probability of snow on Saturday is 1/7
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D
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