A bag contains 14 red marbles, 19 blue marbles, 23 green marbles, and 13 yellow marbles. Calculate the following probabilities. Use proper notation. Use the correct rounding rule. 1) One marble is selected randomly from the bag. Calculate a) P(yellow) b) P(red or green) c) P(not blue)

2) Three marbles are selected randomly from the bag with replacement. Calculate a) P(all blue) b) P(no red or green)

3) Three marbles are selected randomly from the bag without replacement. Calculate a) P(all blue) b) P(no red or green)

4) The table gives the results of 1058 respondents to a recent survey. They were asked if they subscribed to Netflix and if they subscribed to Disney+. Netflix - Yes Netflix - No Disney+ - Yes 821 123 Disney+ - No 62 52

One of the respondents is randomly selected. Calculate the following probabilities. a) P(Subscribe to Disney+ | don't subscribe to Netflix)

b) P(Don't subscribe to Netflix | don't subscribe to Disney+)

5) Four of the respondents from the survey in problem 4 are selected randomly without replacement. Calculate P(at least one has Netflix)

6) Rita has a small bookshelf that can hold 6 books. If she has 11 different books to choose from, how many different ways can the 6 books be arranged?

7) The TUV Company needs to form a committee of 9 people to solve a supply- chain problem. If there are 20 qualified candidates, how many different committees can be formed?

8) How many distinct words can be formed from the letters in TENNESSEE?