A, B and C are events that form a partition of sample space S.
P(A)=0.45, and...
A, B and C are events that form a partition of sample space S.
P(A)=0.45, and P(B)=0.30. D is another event. P(D|A)= 0.32. P(D|B)=
0.48, and P(D|C)= 0.64. Find these probabilities:
Find P ( A u B u D )
Let A, B and C be events in a sample space, S. Suppose that S =...
Let A, B and C be events in a sample space, S. Suppose that S =
A ∪ B ∪ C, and that the following hold: A ∩ C = ∅, B ∩ C = ∅. Let
P(A) = 0.3, P(B) = 0.5 and P(C) = 0.5. Find P(A ∩ B).
Consider two events, A and B, of a sample space such that P(A) =
P(B) =...
Consider two events, A and B, of a sample space such that P(A) =
P(B) = 0.7 a).Is it possible that the events A and B are mutually
exclusive? Explain. b).If the events A and B are independent, find
the probability that the two events occur together. c).If A and B
are independent, find the probability that at least one of the two
events will occur. d).Suppose P(B|A) = 0.5, in this case are A and
B independent or dependent?...
Let the S = {0,1,2,3,4,5,6,7,8,9,10} be the sample space of a
random experiment. Suppose A is...
Let the S = {0,1,2,3,4,5,6,7,8,9,10} be the sample space of a
random experiment. Suppose A is the event that we observe a number
less than 3 and B be the event that we observe a number greater
than 8. Determine the event that either A occurs or B occurs.
Group of answer choices
{3,4,5,6,7,8}
{0,1,2,3,8,9,10}
empty set
{0,1,2,9,10}
{4,5,6,7}
A random experiment has four outcomes, A, B C and D, with
probabilities a,b, c and...
A random experiment has four outcomes, A, B C and D, with
probabilities a,b, c and d , where d=1-a-b-c >0 and a>0,
b>0, C>0
What is the probability that, in a sequence of independent
performances of the
experiment, A will occur before D.
Let A, B be events of a sample space S with probabilities P(A) =
0.25, P(B)...
Let A, B be events of a sample space S with probabilities P(A) =
0.25, P(B) = 0.35 and P(A∪B) = 0.4. Calculate (i) P(A|B) ,(ii)
P(B|A), (iii) P(A∩B), (iv) P(A|B).
Suppose events A, B, C have the following probabilities: P(A|B)
= 1 /3 , P(C|B) =...
Suppose events A, B, C have the following probabilities: P(A|B)
= 1 /3 , P(C|B) = 23 /45 , P(A ∩ C|B) = 11 /45 . Given that B has
occurred, a) Find the probability that only C has
occurred. b) Find the probability that only A or only C
has occurred, but not both. c) Find the probability that
A or C has occurred.