Yes, but if B (50%) is the answer, you only have a 25% chance of picking it. However B <> 25%, so B is incorrect.
To look at it another way:
A = x%
B = y%
C = z%
D = x%
If the correct answer is x%, then you have a 50% chance of getting it. So if A and D are 50%, then that’s the correct answer.
If the answer is either y% or z%, then you have a 25% chance of getting it. So if B = 25% or C = 25%, then that’s the correct answer.
None of the above are true, so there is no correct answer.
The question is inconsistent (it contradicts itself). The probability (rounded) is 33%, but that is not one of the choices.
Let’s refer to the answers abstractly as A, B and C. D is the same answer as A. There are three possible answers, and in the absence of any extra data, we can only give then equiprobability to be correct.
There is a 33% chance that the correct answer is A. Under that assumption, you have a 50% to pick it correctly (by picking A or D). That’s a 16,67% chance to pick to correct one overall.
There is a 33% chance that the correct answer is B. Under that assumption, you have a 25% to pick it correctly. That’s a 8,33% chance to pick to correct one overall.
There is a 33% chance that the correct answer is C. Under that assumption, you have a 25% to pick it correctly. That’s a 8,33% chance to pick to correct one overall.
Summing all possible paths to picking correctly, that is 33,33%.
You can take it the other way if that is more intuitive to you (doesn’t matter mathematically):
(50% chance to pick A or D × 33% chance this is correct) + (25% chance to pick B × 33% chance this is correct) + (25% chance to pick C × 33% chance this is correct)
lionel wrote:
The question is inconsistent (it contradicts itself).
Which is the whole point, of course!
This one is for the non UK pilots who really want to know which online English newspaper to read
This video about the british papers is hilarious :)
That is terrible. I didn’t get it at all. So I did the logical thing and called in Justine (PhD) who said it must be something specific to flying…
Heading
We all know how Peter got his ATPLs