Let A and B be too disjoint events. Under what condition are they independent?
If A and B are
disjoint, then 
If A and B are
independent, then 
If
then A and B are disjoint
and independent events
i.e.
or
or
then A and B are disjoint
and independent events
Let A and B be too disjoint events. Under what condition are they independent?
Let A and B be two disjoint events such that P(A) = 0.29 and P(B) = 0.36. What is P(A and B)?
Let A and B be two disjoint events such that P(A) = 0.25 and P(B) = 0.45. What is P(A or B)?
Let A be the event that a person studies a lot. Let B be the event that a person does well on exams. Which of the following is true? Select one. A. The events are disjoint and are independent. B. The events are disjoint and are not independent. C. The events are not disjoint and are not independent. D. The events are not disjoint and are independent.
If A and B are disjoint events, which of the following statements is TRUE about A and B? A. A and B are independent B. P(A) = 1- P(B) C. All of the given options are true. D. P(A or B) = P(A) + P(B)
-Chapter 2: Let A, B and C be non-disjoint events consisting of elements from the sample space Ω. Using only the operators for union (U), intersection (n), difference () and complement (C) as well as the letters A, B and C write down expressions for events A, B and C where 1. At least one event is true. 2. Only the event A is true. 3. A and B are true but C is not 4. All events are true....
Prove or disprove: Two events A and B are independent if and only if they are disjoint.
Prove or disprove: Two events A and B are independent if and only if they are disjoint.
(7) The events A and B are mutually exclusive (disjoint). If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? A) 0.14 B) 0 C) 0.9 D) 0.5 (8) The events A and B are mutually exclusive (disjoint). If P(A) = 0.2 and P(B) = 0.1, what is P(A and B)? A) 0.02 B) 0 C) 0.5 D) 0.3 (9) A probability experiment is conducted in which the sample space of the experiment is S = {1,...
#8. Let A and B be two independent events with P(A)-0.4 and P(A U B)-0.64. What is P(B)?
Problem 1. Justify your answers to the following. (a) Let A, B, C be independent events. Are AuB and C independent? (b) Let K, L, M be three events such that any two are independent. Are KUL and M necessarily independent events? (c) Let E, F, G be independent events. Express is P(EUFUG) in terms of P(E),P(F), and P(G)