A student has to match three historical events-Dandi March, Quit India Movement and Mahatma Gandhi'sassassination with the years 1948, 1930 and 1942. The student has no knowledge of the correct answers anddecides to match the events and years randomly. `E_1(0 leq i leq3)` denote the event that the student getsexactly i correct answers. Then

A student has to match three historical events Dandi March, Quit India movement and Mahatma Gandhi Assassination with the years 1948,1930 and 1942. The student has no knowledge of the correct answers and decided to match the events and years randomly. If x denotes the number of correct answers he gets, then mean of x is

A student has to match three historical events Dandi March, Quit India movement and Mahatma Gandhi Assassination with the years 1948,1930 and 1942. The student has no knowledge of the correct answers and decided to match the events and years randomly. If x denotes the number of correct answers he gets, then mean of x is

Each of five questions on a multiple chice examination has four choices,only one of which is correct.A student is attempting to guess the answers.The random variable X is the number of questions answered correctly.(i)What is the probability that the student will get exactly three answers correct?

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A multiple choice test question has five alternative answers, of which one is home work, then he is sure to identify the correct answer; otherwise, he chooses Let E: denotes the event that a student does his home work with P(E)=P and F: denotes the event that he answer the question correctly. (a) If p=0.75 the value of P(E/F) equals

PARAGRAPH A There are five students S_1, S_2, S_3, S_4 and S_5 in a music class and for them there are five seats R_1, R_2, R_3, R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i , i=1, 2, 3, 4, 5 . But, on the examination day, the five students are randomly allotted five seats. For i=1, 2, 3, 4, let T_i denote the event that the students S_i and S_(i+1) do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event T_1nnT_2nnT_3nnT_4 is 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5