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03 Mar 2008, 19:17
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A student has answered 7 of the 10 questions on the true-false test correctly and has decided to guess randomly on the rest. If all of the questions are equally weighted, what is the probability of the student receiving a score of 90% or more on the test?
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03 Mar 2008, 19:26
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7 Questions are answered correctly.
To obtain 90% or more student has to correctly answer atleast 2 more questions correctly.
It is like tossing a fair coin 3 times and what is probability of obtaining either Head or Tail 2 times or more.
4/8 = 1/2
To obtain 90% or more student has to correctly answer atleast 2 more questions correctly.
It is like tossing a fair coin 3 times and what is probability of obtaining either Head or Tail 2 times or more.
4/8 = 1/2
03 Mar 2008, 19:30
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Questions left to be answered are 3.
To score 90% or more, student should do atleast 2 out of 3 right.
There are two probable cases for each question - Right or Wrong.
Hence total cases to solve 3 questions = 2^3 =8
Favorable cases:
RRR -1 case
RRW - 3 cases
So total favorable =3+1 =4
Hence probablility = 4/8 =1/2
To score 90% or more, student should do atleast 2 out of 3 right.
There are two probable cases for each question - Right or Wrong.
Hence total cases to solve 3 questions = 2^3 =8
Favorable cases:
RRR -1 case
RRW - 3 cases
So total favorable =3+1 =4
Hence probablility = 4/8 =1/2
