your answer is C.
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The expected score for Joe in the competition would be as follows:
D). [tex]97.2[/tex]
Given that,
No. of Questions [tex] = 25[/tex]
No. of possible answers for every question [tex]= 5[/tex]
Total possibilities [tex]= 25(5)[/tex]
[tex]= 125[/tex]
Points for every correct answer [tex]= 6[/tex]
Points for every blank answer [tex]= 1.5[/tex]
Points for every incorrect answer [tex]= 0[/tex]
Now,
Out of 25,
Joe is confirmed of 12 questions. So, marks in those 12 questions
[tex]= 12(6)[/tex]
[tex]= 72[/tex]
Questions left
[tex]= 25 - 12 \\ = 13[/tex]
Out of these 13,
For 4 questions, he removed 3 choices. So,
[tex]4[/tex] × [tex](3/5) [/tex] × [tex](6)[/tex]
[tex]= 14.4[/tex]
For last 9 questions, he just guesses. So,
Probability of each answer being right = 1/5
Marks for these 9 questions [tex]= 9 (1/5) (6)[/tex]
[tex]= 10.8[/tex]
∵ Expected marks [tex]= 72 + 14.4 + 10.8[/tex]
[tex]= 97.2[/tex]
Thus, option D is the correct answer.
Learn more about "Competitions" here:
brainly.com/question/1622043
