Probability- Introduction, Numerical Problems Solved and Explained

Introduction of Probability

Probability of solving specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

Probabilities of solving a specific problem independently by A and B are 1/2\ a n d1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

Probabilities of solving a specific problem in dependently by A and B are 1/2a n d1/3 respectively. If both try to solve the problem independently find the probability that : The problem is solved Exactly one of them solves the problem.

The probability of a problem being solved by 3 students independently are (1)/(2), (1)/(3) and alpha respectively. If the probability that the problem is solved in P(S), then P(S) lies in the interval (where, alpha in (0, 1) )

Four person independently solve a certain problem correctly with probabilities 1/2,3/4,1/4,1/8dot Then the probability that he problem is solve correctly by at least one of them is (235)/(256) b. (21)/(256) c. 3/(256) d. (253)/(256)

The probability that A can solve a problem is 2//3 and B can solve it is 3//4 . If both attempt the problem, what is the probability that the problem gets solved ?

Given the probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that none of the two will be able to solve the problem.

The probability of solving a problem of mathematic for A and B are 1/3 and 1/5 respectively. If both try the problem, find the probability that the problem will be solved.

The probabilities of A , B and C solving a problem independently are respectively (1)/(4) , (1)/(5) , (1)/(6) . If 21 such problems are given to A , B and C then the probability that at least 11 problems can be solved by them is