Show all your work for the following and use the correct notation:

1.) How many ways can you arrange 12 songs on a playlist?

2.) There are 13 officers for the National Honor Society at your school. In how many ways can you pick a president, vice president, secretary, treasurer, and a historian?

3.) There are 95 thriller movies on Netflix. You like 60 of the movies. What is the probability that if randomly picked, you like the next 15 movies that play?

4.) What is the probability that you get a heart flush ( all five cards are hearts )?

5.) At NYPD pizza they have 15 possible toppings for pizzas. What is the probability that the toppings on a pizza are sausage, jalapenos, onion, and mushrooms?

6.) A survey asked 368 people that drive if they drive an SUV and if that SUV is a Toyota. 1 out of 8 adults responded that they drive an SUV and 1 out of 4 drive a Toyota. Of the people surveyed who drove a Toyota, 3 out of 7 drive an SUV.

a.) What is the probability that a randomly selected driver drives an SUV given that it is a Toyota?

b.) What is the probability that a randomly selected driver drives an SUV and drives a Toyota?

c.) Are the events " driving an SUV " and " driving a Toyota " independent events? Show your work.

plication rule and con. + 2. A survey of 150 HS students were asked if they were taking an AP or honors courses this school year. The results are in the table below. Taking at least 1 Honors Not taking any honors course Total courses Taking at least 1 AP Course 26 43 69 Not taking any AP courses 55 26 81 Total 81 69 150 (a) What is the probability that a randomly selected student is not taking an honors course this school year (b) What is the probability that a randomly selected student is taking an AP course this school year (c) What is the probability that a randomly selected student is taking an AP course given that they are taking an honors course. O