1. Match the probability formula with the correct probability name.
(a) Probability of the union of two events
(i) P (A∪B) = P (A) + P (B)
(b) Probability of the union of two events
(ii) P (A') = 1 - P (A)
(c) Probability of independent events
(iii) P (A∪B) = P (A) + P (B) - P (A ⋂ B)
(d) Probability of a complement
(iv) P (A and B) = P (A) · P (B)
Find the sample space for the experiment.
2. You toss a coin and a six-sided die.
3. You toss a six-sided die twice and record the sum.
4. A taste tester ranks three varieties of yogurt, A, B, and C, according to preference.
5. You select two marbles (without replacement) from a bag containing two red marbles, two blue marbles, and one yellow marble. You record the color of each marble.
6. Two county supervisors are selected from five supervisors, A, B, C, D, and E, to study a recycling plan.
7. A sales representative visits three homes per day. In each home, there may be a sale (denote by S) or there may be no sale (denote by F).