Consider a group of n people. What is the smallest value for n such that in any group of n people, the probability that two or more share the same birth month is at least 50%? Assume that birthdays are equally likely to occur in any of the 12 months.

What is the probability that the next person you meet was not born in July?1

Assuming that the probability that an individual changes residence during the year is 0.21. A survey is taken of five individuals. What is the probability that three out of five individuals move during the year?

Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction

If a graduate student is randomly selected, find out the probability that that particular student's birthday is NO in day in May (In calculating the probability, ignore the inclusion of leap years).   a. 31/364   b. 334/365   c. 31/365   d. 11/12

A coin is tossed five times. What is the probability that the outcome is five heads, given that exactly four of the coins show heads? The probability of getting five heads is.

According to an​ airline, flights on a certain route are on time 80​% of the time. Suppose 17 flights are randomly selected and the number of​ on-time flights is recorded. The probability that fewer than 11 flights are on time is ___?____ (Round to four decimal places as needed)

Assume that when adults with smartphones are randomly​ selected, 56​% use them in meetings or classes. If 77 adult smartphone users are randomly​ selected, find the probability that exactly 33 of them use their smartphones in meetings or classes. The probability is?