Abowl contains 3 red, 8 blue, and 7 black beads. margaret randomly selects 3 beads one after the other without replacement. find the probability of getting a red, blue, and black bead, in that order.

a. dependent; 204/7
b. independent; 7/243
c. independent; 1/68
d. dependent; 7/204

This is the concept of probability and statistics, we are required to calculate the probability of getting a red, blue and black respectively, given that there are 3 red, 8 blue and 7 black beads;
Probability of an event occurring=(Number of ways it can occur)/(Total number of outcomes )
The total number of outcome in our situation is:
3+8+7=18
P(Red)=3/18=1/6
P(Blue)=8/17
P(Black)=7/16
since these occurrence are such that the selection is without replacement, that means they are dependent. The probability of them occurring in that order will be:
P(x)=1/6*8/17*7/16=7/204
The answer is d. dependent; 7/204