Define an event

Define an elementary event.

A number x is chosen at random from the set {1,2,3,4,. . . . ,100} . Define the events A = the chosen number x satisfies ((x - 10) (x - 50))/((x - 30)) ge 0 . Then P(A) is

Following frequency distribution given the weights of 38 students of a class: Weight in Kg: 31-35 36-40, 41-45, 46-50, 51-55, 56-60 61-65, 66-70 71-75 No. of students 9 5 14 3 1 2 2 1 1 Find the probability that weight of a student in the class is: (i)at most 60 kg (ii)at least 36 kg (iii)not more than 50kg. Also define two events in this context, one having probability 0 and the other having probability 1.

The probability of happening an event A in one trial is 0.4. Find the probability that the event A happens at least one in three independent trials.

The probability of happening an event A in one trial is 0.4. Find the probability that the event A happens at least one in three independent trials.

If A and B are two independent events, prove that P(AuuB).P(A'nnB')<=P(C) , where C is an event defined that exactly one of A and B occurs.

If A and B are two independent events, prove that P(AuuB).P(A'nnB')<=P(C) , where C is an event defined that exactly one of A and B occurs.

The probability of the occurrence of an event is 3/7 The probability of non-occurrence of the event is:

Define probability of an event.

The probability of event A is 3//4 . The probability of event B , given that event A occurs is 1//4 . The probability of event A , given that event B occurs is 2//3 . The probability that neither event occurs is