The answer is 3/9 or 1/3 in its simplest form
Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Answer: 10
Step-by-step explanation:
Answer:
why does this hurt my head so much
Step-by-step explanation:
Answer:
Joy must use 80 milliliters of solution at 20% and 20 milliliters of solution at 60%
Step-by-step explanation:
Let
x -----> milliliters of solution at 20%
y -----> milliliters of solution at 60%
we know that
----> equation A
so
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (80,20)
see the attached figure
therefore
Joy must use 80 milliliters of solution at 20% and 20 milliliters of solution at 60%