a) The probability of getting the correct answer = [tex]\frac{1}{6}[/tex]
b) The probability of getting a correct answer after eliminating one answer is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Step 1 :
Number of possible answers available for each question = 6
a)
The student takes a guess at the answer, we need to obtain the probability of selecting the correct answer.
This can be obtained by dividing the favorable outcomes by the total available outcomes = [tex]\frac{1}{6}[/tex]
Hence probability of getting the correct answer = [tex]\frac{1}{6}[/tex]
Step 2 :
b)
The student eliminates one of the six possible answers. Hence the total possible answers available here is 6 - 1 = 5
The probability that the student guesses the correct answer from the available 5 answers is [tex]\frac{1}{5}[/tex]
The probability of selecting a correct answer after eliminating one answer is [tex]\frac{1}{5}[/tex]
Step 3 :
Answer :
a) The probability that student selects correct answer = [tex]\frac{1}{6}[/tex]
b) The probability that student selects correct answer after eliminating one answer is [tex]\frac{1}{5}[/tex]