Question 5 (1 point) <Venn 6> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)=0.7 Find P(Ac UB) (2 decimal places without rounding-up) Question 6 (1 point) Saved There are 2 events: A, B with P(A)-0.5, P(B)-0.4, PAUB)-0.7 Find P(A B)
Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability, S PAUB 15 25 P(AUB) = (Type a decimal.) Enter your answer in the answer box
False Question 3 (1 point) <Venn 5> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)-0.7 Find P(A n B) Question 4 (1 point) Saved <Venn 2 There are 2 events: A, B with P(A)-Q5, P(B)-0.4, PAUB)-0.7
Show Work please 7. (6pts)lf A and B are independent events with P(A)-0.1 and P (B) 0.65. Compute P(A B).
2) Assume that A and B are two events such that: Show that a +b 1 P(AB) 2
1. Given events A, B, C, show that the probability that exactly one of the events occurs equals nc)- 2 2. A box contains 30 red balls, 30 white ball, and 30 blue balls. If 10 balls are selected at random, without replacement, what is the probability that at least one color will be missing from the selection?
Let A and B be events with probabilities not equal to 0 or 1. Show that if P(B|A) = 1, then P(A0 |B0 ) = 1. You may use the axioms of probability, all the theorems from the notes, and anything that was proven on the homework or in the notes. Hint: Consider slide 9 in chapter 4 for event A and show that P (A|B0 ) = 0.
For any events A and B with P(B)>0, show that P(A|B) + P(A'|B) = 1. How do you draw a venn diagram to solve/illustrate this problem?
Match the rules to their correct notation: >P(AnB) P(A) (BIA) 1. Addition Rule 2. Multiplication Rule P(A) Independent events Multiplication Rule - Dependent events 3. P(AnB)P(A) P(B) PAUB)PA)P(B)(AnB) 4. Conditional Probability
3. Given that A and B are independent events, show that: a) A and B' are independent b) A' and B are independent c) A' and B' are independent