SOLUTION: a multiple choice test consists of 10 questions, each with four answer choices. what is the probability that a person who randomly guesses gets the first two questions correct
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Question 1137667: a multiple choice test consists of 10 questions, each with four answer choices. what is the probability that a person who randomly guesses gets the first two questions correct
p=1\4=0.25
q=3\4=75
p=10cr(1\4)(10-8)x(3\4)
10c2x(0.25)4x(0.75)x2
The probability to guess correctly the answer to the first question is .
The probability to guess correctly the answer to the second question is , again.
These events are independent, so the probability to guess the answers correctly to the first AND the second questions is = .
The "solution" written in your post is INCORRECT.
For your better understanding, if even the total number of questions in such multiple choice test is 100 (instead of 10),
it will not change the answer to this question.
If you want to discuss further my solution with me via this forum, then PLEASE put the ID number
of the problem (which is 1137667 in this case) into your message.
