Define an event

Define a event.

Define an elementary event.

Define an elementary 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

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

Each of the three children in a family is equally likely to be a boy or a girl independent of the others. Define the events E: "all the children in the family are of the same sex F: "there is at most one boy in the family" G: "the family includes a boy and a girl" Then

Suppose that all the four possible outcomes e_1 , e_2 , e_3 , e_4 of an experiment are equally likely. Define the events A, B, C as A = (e_1, e_4) , B = (e_2, e_4) . What can you say about the dependence or independence of events A, B, C?

A number x is chosen at random from the set {1, 2, 3,…., 100}. Define event: A = the chosen number x satisfies (x-20)/(x-40) ge 2 . Then P(A) is