A multiple-choice test has four questions. For a student making random guesses for each answer, the probabilities for the number of correct responses are given

Question

A multiple-choice test has four questions. For a student making random guesses for each answer, the probabilities for the number of correct responses are given in this table. Assume that a student makes random guesses for each question and find the probability of getting all correct answers

   x   
  P(x)  
0
     0.4096     
1
0.4096
2
0.1536
3
0.0256
4
0.0016
 


 
0.9984

 
0.5904

 
0.0016

 
none of the above are correct
 

Answer 1

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I had to figure out how many choices
each question had to choose from to
find an answer that fit.  The only thing
that worked was if each multiple choice
question had 5 answers from which you
could choose.

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If there are 5 choices per question

Then you have 1/5 chance of answering

any single question correctly.

1/5 = .2 = 20% chance of getting any

single question correct.

 

The probability of getting all 4 answers

correct is (.2)⁴ = .0016