For eachrexperiment, determine whether events A and B are independent or dependent. Experiment Events Independent Dependent A bean is randomly selected from a bag containing red beans and white beans and eaten. Then another random selection is made from the remaining beans. Event A: The first selection is a white bean. Event B: The second selection is a red bean. A deck contains 8 cards numbered 1 through 8. A card is randomly chosen from the deck. The card is then put back into the deck. The deck selected is numbered is shuffled. Then another randóm selection is made. Event A: The first card 4. Event B: The second card selected is numbered 5. A number cube with sides labeled 1 through 6 is rolled. Then a spinner with slices numbered 1 through 9 is spun. Event A: The number cube roll is an even number. Event B: The spinner lands on an odd number. A bin contains marbles numbered 1 through 9. A marble is randomly selected from the bin and returned to the bin. The marbles are mixed. Then another random selection is made. Event A: The first selection is an odd numbered marble. Event B: The second selection is an even numbered marble. A family has two children. Event-A: The ölder child is a boy. Event B: Both children are boys.

Suppose that you close your eyes and select at random two candies from the bowl which contains 2 red and 3 yellow candies without replacement. Use counting rules to find the following probabilities. a. Probability that you will select one red and one yellow candy is b. Probability that you select two red candies is

Northwest Furniture Factory makes desks. Inspectors find that the probability that a desk has a structural defect is 0.03, the probability that it has a defect in finish is 0.07, and the probability of both kinds of defect is 0.02. A desk is randomly selected. Find the probability that a desk has structural defect, given that it has a defect in finish.

An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.

Luis is playing a paint ball game.  To win, he must capture the flag and choose the correct escape route.  The chance that he captures the flag is 62%.  The chance that he chooses the correct escape route is 68%.  The probability that he does both is 41%.  Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either task