# Question: Show that P A B 1 P A P B

Show that P(A ∪ B) ≥ 1- P(A') - P(B') for Any two events A And B defined in the sample space S.

## Relevant Questions

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 3, 5, 7}, B = {6, 7, 8, 9}, C = {2, 4, 8}, And D = {1, 5, 9}, list the elements of the subsets of S corresponding to the following events: (a) A ∩ B; (b) (A ∩ B) ∩ C; (c) B ...A coin is tossed once. Then, if it comes up heads, a die is thrown once; if the coin comes up tails, it is tossed twice more. Using the notation in which (H, 2) , for example, denotes the event that the coin comes up heads ...With reference to Exercise 2.48 And Figure 2.14, list the region or combinations of regions representing the events that a car brought to the garage needs (a) Transmission repairs, but neither An engine overhaul nor new ...Suppose that each of the 30 points of the sample space of Exercise 2.40 is assigned the probability 1/30. Find the probabilities that at a given moment (a) At least one of the station wagons is empty; (b) Each of the two ...A right triangle has the legs 3 And 4 units, respectively. Find the probability that a line segment, drawn at random parallel to the hypotenuse And contained entirely in the triangle, will divide the triangle so that the ...Post your question