Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
