Question

Let
E, F and G be three events in S with P(E) = 0.62, P(F) = 0.58, P(G)
= 0.34, P(E ∩ F) = 0.32, P(E ∩ G) = 0.19, P(F ∩ G) = 0.14, and P(E
∩ F ∩ G) = 0.06. Find P(EC ∩ F ∩ G), P(E ∩ FC ∩ G), and P(E ∩ F ∩
GC).

Answer #1

P(E) = 0.62

P(F) = 0.58

P(G) = 0.34

P(E F) = 0.32

P(E G) = 0.19

P(F G) = 0.14

P(E F G) = 0.06

Venn Diagram

Let E, F, G be three events. Find P{E ∪ F ∪ G} function of P{E},
P{F}, P{G}, P{E ∩ F}, P{E ∩ G}, P{F ∩ G}, and P{E ∩ F ∩ G}.

38. Let E and F be events with P(E) = .3, P(F) = .6, and P(E ∪
F) = .7. Find (a) P(E ∩ F) (b) P(E|F) (c) P(F|E) (d) P(Ec ∩ F) (e)
P(Ec |F)
answers: a. .2 b. .5 c. .67 d. .4 e. Please show work
how to get these answers and include venn diagram thank you

1.Given that P(E) = 0.32, P(F) = 0.32, and P(E ∩ F) = 0.18. Find
P(E ∪ F).
a) 0
b) 0.18
c) 1
d) 0.54
e) 0.46
f) None of the above
2. Given P(A) = 2⁄5, P(B) = 19⁄50 and P(A ∩ Bc ) = 1⁄5. Find P(A
∩ B).
a) 0.16
b) 0.26
c) 0.98
d) 0.20
e) 0.40
f) None of the above.
3. Suppose P(E) = 57⁄100 , P(Fc ) = 7⁄20 , and P(F...

Let E and F be two events within sample space
S. Given P(E) = .7 and P(F) = .4, are the events E and F
mutually exclusive? Explain why or why not.

Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.11, P(d) =
0.11, P(e) = 0.18, and P(f) = 0.19. Let E = {b, c, f} and F = {b,
d, e, f}. Find P(a), P(E), and P(F).

Let S be a sample space and E and F be events associated with S.
Suppose that Pr (E)= 0.2, Pr(F) = 0.4, and Pr (F|E) = 0.1.
Calculate the following probabilities.
a. Pr(E∩F)
b. Pr(E∪F)
c. Pr(E|F)
d. Pr (E' intersect F)

Calculate P(E U Fc U G) where {E, F, G} is an
independent set and P(E) = 3/4, P(F) = 3/5, and P(G) = 3/7.

If P(E) = 0.32 and P(F) = 0.25:
a.) Find P (E or F) if E and F are mutually exclusive.
b.) Find P (E and F) if E and F are independent.

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 ) ?

E and F be any experiments with their probabilities as p(E) =
0.73 and P(F) = 0.58
1. the two given experiments are mutually exclusive, find p(E or
F)
2. If the two given experiments are not mutually exclusive and
p(E&F)= 0.45 , find p(E U F).
Please provide with all steps TIA

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