Question

There are two bags containing only yellow and orange marbles. Bag A has 9 yellow marbles and 3 orange marbles. Bag B has 7 yellow marbles and 13 orange marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event 1 : choosing a yellow or orange marble from Bag B. Event 2 : choosing a red marble from Bag A. Event 3 : choosing an orange marble from Bag B. Event 4 : choosing a yellow marble from Bag A.

Answer 1

Event 2, Event 3, Event 4, Event 1

Explanation:

The probability of Event 2 occurring is 0/12(0%) as there are no red marbles in the bag.

The probability of Event 3 occurring is 13/20(65%) as you will get an orange marble from Bag B 13 out of 20 times.

The probability of Event 4 occurring is 9/12(75%) as you will get a yellow marble from Bag A 9 out of 12 times.

The probability of Event 1 occurring is 20/20(100%); therefore you will always get either a yellow or an orange marble from Bag B.