6 In a puzzle contest, there are 8 objective
questions. Each question has 4 choices of
answers and there is only one correct answer.
If a participant guesses an answer at random,
find the probability that he/she could guess
correctly
(a) all the 8 questions,
(b) not more than 2 questions,
(c) at least 3 questions.
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Answer:
Step-by-step explanation:
There are 4 choices for each question. So, there
are 4 ways to answer a question.
Number of ways to answer 3 questions
=4×4×4
↓ ↓ ↓
1
st
question 2
nd
3
rd
=64
Out of 64 ways there is only one way which has
all the answers correct.
So, Number of ways in which a student can fail to get all answers
correct =64−1
=63
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