In an examination, a student can choose the order in which two questions…

GATE · 2021 · CS · Set 2 · Computer Science & IT

In an examination, a student can choose the order in which two questions (QuesAQuesA and QuesBQuesB) must be attempted.

- If the first question is answered wrong, the student gets zero marks.

- If the first question is answered correctly and the second question is not answered correctly, the student gets the marks only for the first question.

- If both the questions are answered correctly, the student gets the sum of the marks of the two questions.

The following table shows the probability of correctly answering a question and the marks of the question respectively. 

questionprobabilty of answering correctlymarksQuesA0.810QuesB0.520\begin{array}{c|c|c} \text{question} & \text{probabilty of answering correctly} & \text{marks} \\ \hline \textsf{QuesA} & 0.8 & 10 \\ \textsf{QuesB} & 0.5 & 20 \end{array}

Assuming that the student always wants to maximize her expected marks in the examination, in which order should she attempt the questions and what is the expected marks for that order (assume that the questions are independent)?

  1. A.

    First QuesAQuesA and then QuesBQuesB. Expected marks 14

  2. B.

    First QuesBQuesB and then QuesAQuesA. Expected marks 14

  3. C.

    First QuesBQuesB and then QuesAQuesA. Expected marks 22

  4. D.

    First QuesAQuesA and then QuesBQuesB. Expected marks 16

Attempted by 63 students.

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