Suppose that E and F are two events and that P(E & F)=0.1and P(E)=0.5. What is P(F|E)? ​(Type an integer or a decimal. Do not​ round.)

MATLAB: An Introduction with Applications
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1)

Suppose that E and F are two events and that P(E & F)=0.1and P(E)=0.5. What is P(F|E)?
​(Type an integer or a decimal. Do not​ round.)
 
2)
 
Based on the given information, decide whether or not the two events in question are independent or whether it is not possible to tell.
P(B)=0.6 and P(B∣A)=0.5
 
Choose the correct answer below.
 
A.
The two events are independent because P(A & B)=P(B)•P(B∣A).
 
B.
The two events are independent because of (B∣A)=P(B).
 
C.
The two events are not independent because P(A & B)≠P(B)•P(B∣A).
 
D.
The two events are not independent because P(B∣A)≠P(B).
 
E.
It is not possible to tell if the two events are independent.
 
 
3)
 
Suppose that​ A, B, and C are independent events such that
P(A)=0.6​, P(B)=0.7​, and P(C)=0.3. Find P(A & B & C).
 
P(A & B & C)=?
​(Type an integer or a decimal. Do not​ round.)
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