Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, P

wurmiana6d

wurmiana6d

Answered question

2021-11-17

Find the probability​ P(E or​ F) if E and F are not related, P(E)=0.41,  and  P(F)=0.47
The probability​ P(E or​ F) is nothing.

Answer & Explanation

rerCessbalmuh

rerCessbalmuh

Beginner2021-11-18Added 13 answers

Step 1: Given information 
As per the given information, we have
Event E and F are not able to occur at the same time, 
P(E)=0.41 
P(F)=0.47 
Step 2: Answer is given by, 
The probability P(E or F) is given by, 
We know that, 
Event E and F are not able to occur at the same time P(E and F)=0 and, 
P(E  or  F)=P(E)+P(F)P(E  and  F) 
P(E  or  F)=0.41+0.470 
P(E  or  F)=0.88 
Therefore, the probability P(E or F) is 0.88.

nick1337

nick1337

Expert2023-06-13Added 777 answers

Result:
0.88
Solution:
P(E or F)=P(E)+P(F)P(E and F)
Since E and F are not related, P(E and F)=0. Thus, the formula simplifies to:
P(E or F)=P(E)+P(F)0
Given that P(E)=0.41 and P(F)=0.47, we can substitute these values into the formula:
P(E or F)=0.41+0.470
Simplifying further, we get:
P(E or F)=0.41+0.47
Finally, evaluating the expression:
P(E or F)=0.88
Therefore, the probability P(E or F) when E and F are not related is 0.88.
Don Sumner

Don Sumner

Skilled2023-06-13Added 184 answers

To solve the problem, we can use the formula for the probability of the union of two events:
P(EF)=P(E)+P(F)P(EF)
Given that E and F are not related, P(EF)=0. Substituting the given probabilities into the formula, we have:
P(EF)=0.41+0.470
Simplifying further:
P(EF)=0.88
Therefore, the probability P(E or F) is 0.88.
Vasquez

Vasquez

Expert2023-06-13Added 669 answers

In this case, since E and F are not related, the probability of both events occurring together is zero. Therefore, the probability P(E or F) can be calculated as follows:
P(E or F)=P(E)+P(F)P(E and F)
Given that P(E)=0.41 and P(F)=0.47, and P(E and F)=0 (since E and F are not related), we can substitute the values into the formula:
P(E or F)=0.41+0.470=0.88
Hence, the probability P(E or F) when E and F are not related is 0.88.

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