Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define
ID: 3304646 • Letter: A
Question
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some events as follows:
Event A: A randomly selected ball has an even number on it
Event B: A randomly selected ball has a multiple of 5 on it
Event C: A randomly selected ball has either a 5 or 8 on it
Answer the following questions related to probability of the above described events for a SINGLE trial:
a.
P(A) =
(Remember this is asking,"What is the probability that a randomly selected ball meets Event A's description?")
b.
P(B) =
c.
P(A and C) =
d.
P(A or C) =
e.
P(not A) =
f.
P(B given A) =
g.
Describe the complement of Event B.
h.
From the 3 events listed above (Events A, B, & C), is any pair mutually exclusive? Explain your answer.
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some events as follows:
Event A: A randomly selected ball has an even number on it
Event B: A randomly selected ball has a multiple of 5 on it
Event C: A randomly selected ball has either a 5 or 8 on it
Answer the following questions related to probability of the above described events for a SINGLE trial:
a.
P(A) =
(Remember this is asking,"What is the probability that a randomly selected ball meets Event A's description?")
b.
P(B) =
c.
P(A and C) =
d.
P(A or C) =
e.
P(not A) =
f.
P(B given A) =
g.
Describe the complement of Event B.
h.
From the 3 events listed above (Events A, B, & C), is any pair mutually exclusive? Explain your answer.
Explanation / Answer
a) Outcomes of A = {2,4,6,8,10}
P(A) = 5/10 = 0.50
b) Outcomes of B = {5,10}
P(A) = 2/10 = 0.20
c) Outcomes of A and C = {8}
P(A and C) = 1/10 = 0.10
d) Outcomes of A or C = {2,4,5,6,8,10}
P(A or C) = 6/10 = 0.60
e) P( not A) = 1-0.20 = 0.80
f) P(B/A) = P(AB)/P(A)
P(AB) = 1/10
P(B/A) = (1/10)/(5/10) = 1/5 = 0.20
g) Not B means which are not multiple of 5
B = {1,2,3,4,6,7,8,9}
P(B) = 8/10 = 0.80
h) No, From the 3 events listed above (Events A, B, & C), there is not any pair mutually exclusive because in each pair ,we have at least one element common
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