For the given pair of events A and B, complete parts (a) and (b) below. A: A mar
ID: 3047087 • Letter: F
Question
For the given pair of events A and B, complete parts (a) and (b) below. A: A marble is randomly selected from a bag containing 16 marbles consisting of 1 red, 9 blue, and 6 green marbles. The selected marble is one of the green marbles. B: A second marble is selected and it is the 1 red marble in the bag. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.) b. Find P(A and B), the probability that events A and B both occur a. Choose the correct answer below 0 A. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other and the 5% guideline can be applied in this case O B. The two events are independent because the 5% guideline can be applied in this case ° C. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other The two events are dependent because the occurrence of one affects the probability of the occurrence of the other and the 5% guideline cannot be applied in this case. D. b. The probability that events A and B both occur is Round to four decimal places as needed.)Explanation / Answer
P(A and B both occurs)
= P(First green marble and then red marble)
= (6/16)*(5/15)
= 0.125