Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.2 if it did not make a profit in the previous year. What is the probability that the business makes a profit in exactly two of its first three years?

Studies show that historically a certain city is hit by a tornado about once every 5 years. What is the probability that the city will be hit by a tornado in two consecutive years?

Assume that the business makes a profit with probability 0.7 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.3 if it did not make a profit in the previous year. What is the probability that the business makes a profit in exactly two of its first three years?

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

A hacker is trying to guess someone's password.The hacker knows that the password is 4 digits long,and that each digit could be a number between 0 and 3.Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password right on her first try?

suppose that an airline has two flights each day from Toronto to Winnipeg; one scheduled at 9am and the other at 3pm. On any given day, the probability that the 9am flight departs on time is .81the probability that the 3pm flight departs on time is .68. The probability that neither depart on time is .21. Find the probability that the 3p flight does not depart on time. Find the probability that both flights depart on time. Find the probability that exactly one of the two flights depart on time. Full explanation (not too complicated) would be awesome

Suppose that an employee arrives late 15% of the time, leaves early 25% of the time, and both arrives late and leaves early 5% of the time. What is the probability that on a given day that employee will either arrive late or leave early (or both)? O 0.35 O 0.25 O None of these O 0.45

Suppose that the probability is 0.0122 that a person who purchases a ticket for an airplane does not show up for the flight. If 250 tickets are sold for an airplane flight that has 247 seats what is the probability that there will not be enough seats available for this flight? O A. 0.1900 B. 0.6360 O C. 0.5893 O D. 0.4107

Assume that the business makes a profit with probability 0.4 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.2 if it did not make a profit in the previous year. What is the probability that the business makes a profit in exactly two of its first three years?

Jeri is listening to the songs on a new CD in random order.  She will listen to two different songs, and will buy the CD if she likes both of them.  Assume that there are 10 songs on the CD and that she would like 5 of them. Before she had listened to any of the songs on the CD, what would have been the probability that she would buy the CD?  Hint:  To find this probability, first find the number of combinations of 2 out of the 5 songs that she likes (how many different combinations of 2 out of the 5 songs are there?).  Then find the number of combinations of 2 out of the 10 songs on the CD (how many different combinations of 2 songs can she pick from the CD?).  Take the number of combinations of the 5 songs she likes and divide that by the number of combinations of the 10 songs..      Question 7 options:   A. 10/45 or 22% B. 10/120 or 8.3% C. 4/9 or 44% D. 45/10 or 450%