A teacher wants to administer a multiple choice (each question having six choices) based quiz of high difficulty level to class of 60 students. The quiz has 60 questions. The probability of selecting the correct answer for good answer for a good student and a brilliant student was 0.2 and 0.25, respectively. The poor students had no learning advantage. The teacher did not want students to cheat but does not have time and resource monitor. All students were seated serially in 10 rows and 6 columns. Three good students were seated next to each other. What is the probability of them having the same incorrect choice for four consecutive questions? |
|||

(a) |
256/390625 |
(b) |
256/3125 |

(c) |
4/3125 |
(d) |
1/3125 |

A teacher wants to administer a multiple choice (each question having six choices) based quiz of high difficulty level to class of 60 students. The quiz has 60 questions. The probability of selecting the correct answer for good answer for a good student and a brilliant student was 0.2 and 0.25, respectively. The poor students had no learning advantage. The teacher did not want students to cheat but does not have time and resource monitor. All students were seated serially in 10 rows and 6 columns. Three good students were seated next to each other. What is the probability of them having the same incorrect choice for four consecutive questions? |
|||

(a) |
256/390625 |
(b) |
256/3125 |

(c) |
4/3125 |
(d) |
1/3125 |

1 Answer

127 votes

If they all mark same option at a time then probability of wrong answer is 1/5

As they can mark 5 wrong choices

Then, probability of same wrong answer =

Probability for same wrong answer for 4 consecutive questions =

127 votes

127