On a december day, the probability of snow is. 30. the probability of a "cold" day is. 50. the probability of snow and "cold" weather is. 15. are snow and "cold" weather independent events?

Question

Mathematics

Armani Williams

27 September, 08:22

On a december day, the probability of snow is. 30. the probability of a "cold" day is. 50. the probability of snow and "cold" weather is. 15. are snow and "cold" weather independent events?

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Answers (1)

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Winston Osborn · Answer 1

Events A and B are independent if the following holds true:

P (A ∩ B) = P (A) * P (B)

where P (A ∩ B) is the probability of A and B, P (A) is the probability of A, and P (B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.