Question: I'm having trouble with this probability question: The students in an outer suburban coaching college have just sat for a very difficult test. There is

I'm having trouble with this probability question:

The students in an outer suburban coaching college have just sat for a very difficult test. There is a total of 5 questions. It is a multiple-choice test and there are 5 options per question. Precisely one of the five options presented for each question is correct. Every question is worth one mark.

a) How many ways can a student be awarded less than 50%.

b) A student guessed the answer to every question. What is the probability that the student earned 40% for the test?

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