Question

Suppose that events E and F are independent, P(E) =0.3 and P(F ) =0.6, P( E and F)=0.2 What is the P( E or F ) ?

Answer #1

Suppose that E and F are two events and that
Upper P left parenthesis Upper E right
parenthesisP(E)equals=0.8
and
Upper P left parenthesis F|E right
parenthesisP(F|E)equals=0.2
What is
Upper P left parenthesis Upper E and Upper F right
parenthesisP(E and F)?

13.
Assume A and B are independent events with P(A)= 0.2 and P(B)= 0.3.
let C be the event that none of the events A and B occurs, let D be
the event that exactly one of the events A and B occurs. Find P(A
given D)?

suppose events A and B are such that p(A)=0.25,P(B)
=0.3 and P(B|A)= 0.5
i) compute P(AnB) and P(AuB)
ii) Are events A and B independent?
iii) Are events A and B mutually exclusive?
b)if P(A)=0.6, P(B)= 0.15 and P(B|A')=0.25, find the following
probabilities
I)P(B|A), P(A|B),P(AuB)

1. Suppose that A, B are two independent events, with
P(A) = 0.3 and P(B) = 0.4.
Find P(A and B)
a. 0.12
b. 0.3
c. 0.4
d. 0.70
2. Experiment: choosing a single ball from a bag which
has equal number of red, green, blue, and white ball and then
rolling a fair 6-sided die.
a.) List the sample space.
b.) What is the probability of drawing a green ball and
even number?
2.

a. Suppose that A and B are two events with P(A)=0.1, P(B)=0.2,
and P(A|B)=0.4. What is P(A ∪ B)? 10.
b. Suppose that F and G are two events with P(F)=0.1, P(G)=0.3,
and P(G|F)=0.5. What is P(F ∪ G)?

Given two events A and B such that P(A) =0.2, P(B)=0.3, P(A⋃B) =
0.44. Are A and B disjoint? Are they independent? Why? Find
P(A|B).

if two events are independent how do we calculate the and
probability, p(e and f), or the two events?

a) Suppose A and B are events such that P(A)=0.2, P(B)=0.6 and
P(A or B)=0.68. Are A and B independent events?
b) A small college athletics group has 40 members in four teams: 10
basketball players, 10 swimmers, 10 tennis players and 10 hockey
players. If 5 athlets are randomly selected (without replacement)
what is the probability that we get at least one athlet from each
team?
1.
a) yes b) 0.27
2.
a) not enough information
given b) 0.998...

Given that P(A) = 0.2 and P(B) = 0.3 and A and B are independent
events, compute P(A and B).
A
0.06
B
0.50
C
0.70
D
0.08
During the Computer Daze special promotion, a customer
purchasing a computer and printer is given a choice of 3 free
software packages. There are 15 different software packages from
which to select.
How many different groups of software packages can be selected?
A
455
B
45
C
2730
D
360,360
How many...

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.

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