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Probability question

6 During the winter, the probability that Barry’s cat, Sylvester, chooses to stay outside all night
is 0.35 , and the cat’s choice is independent from night to night.
(a) Determine the probability that, during a period of 2 weeks (14 nights) in winter,
Sylvester chooses to stay outside on at most 7 nights

Reply 1

Sangha236

Well, if the cat has a 35% chance of staying out one night, the probability of it staying out for 2 nights is 17.5%. It would split in half. It staying out 7/14 nights is basically the same principle. (35/14)*7 is how you would work it out or 35/2. But yeah, haven't done Math in a while. Could be wrong.