I'm having a great deal of trouble with Probability is anyone an expert?

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I'm having a great deal of trouble with Probability is anyone an expert?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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not an expert, but i'll take shot. what's the problem?
Hold on, let me get my questions really quick.
At a mountain village in New Guinea it rains on average six days a week. Determine the probability that it rains on: a. Any one day b. Two successive days c. Three successive days

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a) 6/7 b) 6/7*5/6=5/7 c)6/7*5/6*4/5=4/7
What is your reasoning if you don't mind me asking?
the first day, there's a six outof 7 chance of rain. that's a. the second day, we assume it rained the first day, and so then there's a 5/6 chance it will rain again. we multply those probabilities. the third day we assume the first two happened. so there's a 4/5 chance it will rain again, and we multiply them all. that's c.

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