Question

1，Let A and B be two events. Given that P(A)= 0.31, P(B)=0.72
and P(A and B)=0.18, the probability of P(\bar{A} and \bar{B}) is
（(please give your answer to **two decimal
places**).）

2，Recent data has shown that 40 percent of householders have a
Netflix subscription. If 20 households are randomly selected, the
probability that 5 of them have Netflix is Answer (please provide
your answer to **4 decimal places**).

Answer #1

Let A and B be two independent events such that P(A) = 0.17 and
P(B) = 0.63. What is P(A or B)? Your answer should be given to 4
decimal places.
An urn contains 27 red marbles, 20 blue marbles, and 42 yellow
marbles. One marble is to be chosen from the urn without
looking.
What is the probability of choosing a red or a blue marble?
Your answer should be rounded to 4 decimal places.

Let A and B be two events in a sample space for which
P{A}=0.59,P{B}=0.25 P{A}=0.59,P{B}=0.25 and P{A∩B}=0.09 P{A∩B}=0.09
. What is the probability A or B occurs, but not both? Round your
answer to 4 decimal places.

Given P(A) = 0.7 and P(B) = 0.4 1) If A and B are independent
events, compute P(A and B) - please center your answers in two
decimal places 2) If P(A|B) = 0.1, compute P(A and B) ( THE ANSWERS
ARE NOT 0.28 & 0.04 )

For the given pair of events A and B, complete parts (a) and
(b) below.
A: A marble is randomly selected from a bag containing 14
marbles consisting of 1 red, 7 blue, and 6 green marbles. The
selected marble is one of the green marbles.
B: A second marble is selected and it is the 1 red marble in
the bag.
a. Determine whether events A and B are independent or
dependent. (If two events are technically dependent...

Let A and B be two events such that P(A) = 0.8, P(B) = 0.6 and
P(A B) = 0.4. Which statement is correct?
a.
None of these statements are correct.
b.
Events A and B are independent.
c.
Events A and B are mutually exclusive (disjoint).
d.
Events A and B are both mutually exclusive and independent.
e.
Events A and B are the entire sample space.

(a) Assume A and B are mutually exclusive
events, with P ( A ) = 0.36 and P ( B ) = 0.61. Find P ( A ∩ B
).
(b) Assume A and B are mutually exclusive
events, with P ( A ) = 0.34 and P ( B ) = 0.48. Find P ( A ∪ B
).
(c) Assume A and B are independent events,
with P ( A ) = 0.13 and P ( B )...

Let A and B be two events with P(A) = 0.71 and P(B) = 0.44.
What is the largest possible value of P(A and B)?
What is the smallest possible value of P(A and B)?

Let P(A) = 0.40, P(B) =
0.35, and P(A ∩ B) = 0.13.
a. Are A and B independent
events?
A. Yes because P(A | B) =
P(A).
B. Yes because P(A ∩ B) ≠ 0.
C. No because P(A | B) ≠
P(A).
D. No because P(A ∩ B) ≠ 0.
b. Are A and B mutually
exclusive events?
A. Yes because P(A | B) =
P(A).
B. Yes because P(A ∩ B) ≠ 0.
C. No because P(A...

Let A and B be two events from the sample space S. Given
P(A)=0.3, P(B)=0.4 and P(A or B)=0.6
Find: a) P(A and B) b) P(not A) c) P(not B) d) P(not(A and B))
e) P(not(A or B))

Consider the experiment of randomly selecting an adult American.
Let A be the event that a person has the disease and let B be the
event that a person tests positive for the disease.
(a) There are three probabilities given above. Give each of them
in terms of the events A and B.
(b) In terms of the events A and B, what probability is it that
we wish to compute? Give the correct “formula” for computing that
probability
(c)...

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