E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
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Answer:
just add the equation and solve it then the value of X could be found then put the value of X and the value of y can be found. Just like in the below
Step-by-step explanation:
X+y=3 ------------ equation 1
4x-y=7 ------------ equation 2
adding equation 1 and 2
X+y=3
+ 4x-y=7
-----------------
5x = 10
X = 10/5
X = 2
putting the value of X in equation 1
or, 2+y=3
or, y = 3-2
Thus, y = 1
Answer:
4. B
5.
Step-by-step explanation:
Answer
Rise from the blue dot run to the red dot. Rise over run.
Step-by-step explanation:
1/8 would be your answer