Select 2 marbles at random, one at a time, without replacement. Using the previous problem, let BB denote the event of a blue marble on the first draw, and a blue one on the second draw. Let WR denote the event of a white marble on the first draw and a red one on the second draw. Assume that we can only make a single draw. A condition which is required for independence.
C are independent events.
If an experiment E 1 has n 1 outcomes, and if, for each of these outcomes an experiment E 2 has n 2 outcomes, then the combined procedure of E 1 followed by E 2 has n 1 n 2 outcomes. Roll a 4-sided die three times. To obtain the event that all three rolls are equal, all three rolls could be 1, or all three rolls could be 2, or all three rolls could be 3, or finally all three rolls could be 4, thus there are 4 ways that this could occur. Find the number of possible ordered samples of size 3, sampling without replacement.