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Question: please do not attempt this question if you have done...

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Please do not attempt this question if you have done so before.

Kindly use probability method to explain, no combination methods please.

 

The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
a) In how many ways can the two awards be given if:
i) the same student can receive both awards?
ii) the same student cannot receive both awards?
b) Assuming that a student cannot receive both awards, find the probability that a particular student receives:
i) the Distinction award
ii) the Merit award
iii) neither award.
c) Assuming that a student can receive both awards, find the probability that they receive at least one award.

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