The probabilities of a student getting I, II and III division in an examination are `1/(10),3/5a n d1/4\ ` respectively. The probability that the student fails in the examination is `(197)/(200)` b. `(27)/(100)` c. `(83)/(100)` d. none of these

The sum of probabilities of two students getting distinction in their final examinations is 1.2.

A problem is given to three students whose chances of solving it are 1/4, 1/5 and 1/3 respectively. Find the probability that the problem is solved.

A problem is given to that three students whose chances of solving it are 1/5,1/5,1/3 respectively. Find the probability that the problem is solved.

The probability to pass in an examination of mathematics for three students are 1/4,1/5,1/6 . Find the probability that at least two students will pass in this examination.

The probability of A to fail in an examination is 1/5 and that of B is 3/10 . If the probability that both of them fails is 3/50 , then the probability that only one of A and B fails, is

The probability that a student will receive A, B, C or D grade or 0.40, 0.3, 0.1 and 0.10 respectively. Find the probability that a student will receive. i. B or C grade ii. at most C grade.

If odds against solving a question by three students are 2:1, 5:2, and 5:3, respectively, then probability that the question is solved only by one student is 31//56 b. 24//56 c. 25//56 d. none of these

If odds against solving a question by three students are 2:1, 5:2, and 5:3, respectively, then probability that the question is solved only by one student is 31//56 b. 24//56 c. 25//56 d. none of these

The coefficient of x^3 in the expansion of (1-x+x^2)^5 is (a). -83 (b). 0 (c) .^(30)C_(10) (d). none of these

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or III or all the three. The probabilities of the Student passing in tests I,II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2 , then which one of the following is correct? (a) m (1+n)=1 (B) n (1+m) =1 (C) m=1 (D) mn=1