Question

Consider two binary attributes X and Y. We know that the attributes are independent and probability P(X=1) = 0.6, and P(Y=0) = 0.4. What is the probability that both X and Yhave values 1?

A.  0.06

 

B.  0.16

 

C.  0.26

 

D.  0.36​

Answer 1

Answer:

correct answer is 0.16..........

Answer 2

PROBABILITY

Explanation:

We know that two independent events  

That is probability of occurrence of each events are not dependent  

So  we have:

P(A=1) has no dependence on p(B=1)

And  

P(B=1) has no dependenc eon P(A=1)

So ,

We know  

P(A insersection B) is P(A) multiply P(B)

In the given question :

P(X=1) is  0.6

P(Y=0) is 0.4 that isP(Y=1) is 1=0.4 =0.6

P(Y=1) is 0.6

So P(X instersection Y)=P(X)*P(Y)

=0.6*0.6

=0.36 is the answer