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31 May 2024, 02:48
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Both A and B: Must be less than or equal to 20%
B or C or Both: Must be greater than or equal to 80%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:10) correct
24%
(02:13)
wrong
based on 970
sessions
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Not Attempted Yet
Events A, B, and C have the following probabilities of future occurrence:
On the basis of these probabilities, select for Both A and B a description that must be true of the probability that both A and B will occur. And select for B or C or Both a description that must be true of the probability that B or C or both will occur. Make only two selections, one in each column.
A: 20%
B: 50%
C: 80%
B: 50%
C: 80%
On the basis of these probabilities, select for Both A and B a description that must be true of the probability that both A and B will occur. And select for B or C or Both a description that must be true of the probability that B or C or both will occur. Make only two selections, one in each column.
ID: 101098
| Both A and B | B or C or Both | |
| Must be equal to 40% | ||
| Must be equal to 50% | ||
| Must be equal to 70% | ||
| Must be less than or equal to 20% | ||
| Must be greater than or equal to 80% |
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Official Answer
Both A and B: Must be less than or equal to 20%
B or C or Both: Must be greater than or equal to 80%
08 Jun 2024, 19:46
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guddo
Events A, B, and C have the following probabilities of future occurrence:
A: 20%
B: 50%
C: 80%
On the basis of these probabilities, select for Both A and B a description that must be true of the probability that both A and B will occur. And select for B or C or Both a description that must be true of the probability that B or C or both will occur. Make only two selections, one in each column.
I think of these as Sets questions, not probability. A: 20%
B: 50%
C: 80%
A = 20
B = 50
C = 80
(Total = 100)
Select for Both A and B a description that must be true of the probability that both A and B will occur.
If we were to calculate both A and B, it will have a maximum value of 20 because A itself is 20. So both cannot be more than that.
ANSWER: Must be less than or equal to 20%
And select for B or C or Both a description that must be true of the probability that B or C or both will occur
If we were to calculate B or C or Both, this is our standard n(B or C) given by formula
n(B or C) = n(B) + n(C) - n(Both)
Recall we subtract Both because it is counted twice. 'Both B and C' will be maximum 50 because B is 50.
So minimum value of B or C = 50 + 80 - 50 = 80
ANSWER: Must be greater than or equal to 80%
In case there are any doubts in this method, check:
https://youtu.be/HRnuURqGhmg
https://youtu.be/oLKbIyb1ZrI
03 Jun 2024, 06:40
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A: 20%
B: 50%
C: 80%
P(A&B) = 0,2 * 0,5 = 0,10 --> Must be less than or equal to 20%
P(B or C or both) = 0,5 + 0,8 - (0,5*0,8) = 0.9 --> Must be greater than or equal to 80%
B: 50%
C: 80%
P(A&B) = 0,2 * 0,5 = 0,10 --> Must be less than or equal to 20%
P(B or C or both) = 0,5 + 0,8 - (0,5*0,8) = 0.9 --> Must be greater than or equal to 80%
