A tourist bureau survey showed that 80% of those who seek information about the state actually come to visit. The office received 7 request for information. What is the probability that all will visit?

What is the probability that at least one will?
I've tried to figure how to get the answer but I can't seem to understand how to do this one

To find the probability that all of the tourists will visit, you need to multiply the individual probabilities together.

Given that 80% of those who seek information actually come to visit, the probability that an individual tourist will visit is 0.80. Therefore, for all 7 tourists to visit, you would multiply this probability 7 times:

P(all will visit) = 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80

Simplifying that calculation would give you the probability that all tourists will visit.

To find the probability that at least one will visit, you can use the complement rule. The complement of "at least one will visit" is "none of them will visit."

Since the probability that a tourist will not visit is 1 - 0.80 = 0.20, the probability that none of the tourists will visit is:

P(none will visit) = 0.20 * 0.20 * 0.20 * 0.20 * 0.20 * 0.20 * 0.20

Then, to find the probability that at least one will visit, you subtract this probability from 1:

P(at least one will visit) = 1 - P(none will visit)

These calculations will give you the probabilities you are looking for.