Concerning the problem below, I understand that one event must occur to have collectively exhaustive event. I don't understand how to determine the problem as stated.
If two events are collectively exhaustive, what is the probability that
both occur at the same time?
d. Can't be determined from the i
1. If the probability of an event is .857, what is the probability that the eventwillnotoccur?
2. A baseball player with a batting average of .300 comes to bat. What are the odds in favor of the ball player getting a hit?
12. Let E, F, and G be three events. Find expressions for the events so that of E, F, and G:
(a) only E occurs;
(b) both E and G but not F occur;
(c) at least one of the events occurs;
(d) at least two of the events occur;
(e) all three occur;
(f) none of the events occurs.
Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55. What is the probability that the better team will win the World Series? Treat the games as tosses of a biased coin. Express the event "the better team wins" in terms of elementary Bernoulli event
a)Probablity an event is likely to occur?
b) P of an impossible event?
c) Sample space consists of 25 separate events equally likely. What is P of each?
d) True/False test. P of correct if a random guess?
e)Multiple choice test with 5 possible answers for each, P of getting correcdt of random guess?
Let A and B be events, both having positive probability.
Show that if P(A|B) > P(A), then P(B|A) > P(B).
We know the following definitions:
The probability of event B given event A is P(B|A)=P(AandB)/P(A)
The probability of event A given event B is P(A|B)=P(Aand B)/P(B)
It can be easy enough to get the addition rule and the multiplication rule confused. Tell me the difference between the two. Provide the notations and then tell me what type of problem I would use each one for.
Notation for Addition Rule: P(A or B) = P(event A occurs or event B occurs or they both occur).