Probability that a particular subject comes in my exam

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The exam consists of five subjects randomly selected from a list of seven, with English Literature guaranteed to appear. Either History or Philosophy will be included, but not both, creating a unique selection scenario. The discussion revolves around calculating the probabilities of the remaining subjects to determine study priorities. It is suggested that studying all subjects except for one of History or Philosophy may be the best strategy to prepare for the exam. This approach ensures readiness for any possible question while adhering to the selection rules.
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Hello,
I have an exam at july, in the oral part of it there are 5 subjects, that are choosen from a list of 7 subjects (Physics, History, Phylosophy, Art, Italian Lit., English Lit., Geology.)

Those 5 subjects are randomly picked up from a box (in which there are the 7 subjects), with 2 conditions:

- English Literature is not in the box, and always comes.
- Or comes History, or comes Phylosophy, they can't come both, but they'r both in the box. If one is extracted, and also the other is picked up, the second picked up doesn't count.

I need to know the probabilities for each in order to know which i should study less.
i know english probability to come is 1, but this thing of "or history or philo" stopped me, i can't solve it just thinking with dices and make tables,
any suggestion?
 
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Why not study them all, apart from one of History or Philosophy (since if one of those is on the test, then the other will not be). That way you'll be able to answer all possible questions!
 
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