In: Statistics and Probability
An experiment consists of rolling an eight sided die and drawing a marble from a bag containing 3 blue, 5 red, 10 green, and 1 white. Let A be rolling an even number, B be drawing a green marble, C be rolling a number less than 4, and D be drawing a red or white marble. Write out each in words and find to the best of your ability.
(a) How big is the sample space and what are two ways to visualize it?
(b) P(A)
(c) P(A and C)
(d) P(A or C)
(e) P(A / C)
(f) P(A / B')
(g) P(B / D)
(h) P(A and D)
(i) P(A or D)
(j) Are any of the events mutually exclusive? Justify.
(k) Are any of the events independent from each other? Justify.