Answer: (a) {0,1}; (b) {0,1, 2}; (c) {0,1}; (d) {0, 1, 2}
Step-by-step explanation: Defining the sets A,B and C:
A = {0,1}; B = {0, 1, 2, 3}; C = {-1, 0, 1, 2}
(a) A ∩ B ∩ C = {0, 1}, because it represents the intersection of the sets, the items that appears in all the three sets.
(b) A ∪ (B ∩ C) = {0, 1} ∪ {0, 1, 2} = {0, 1, 2}. In this case, it represents the union of the sets A with the intersection of sets B and C.
The (c) and (d) are a combination between union and intersection of the sets.
The Venn Diagrams are the representations of the sets and their interactions and are represented in the attachments
Answer:
Step-by-step explanation:
Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.
There are marbles in total. The probability that the first chosen marble is blue is
then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is