A and B are two independent witnesses in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree on a certain statement. The probability that the statement is true is

A and B are two independent witnesses in a case. The probability that A will speak truth is 3/5 and the probability that B will speak truth is 1/4. A and B agree in a certain statement. Find the probability that the statement is true.

A and B are two independent witnesses in a case. The probability that A will speak truth is 2/3 and the probability that B will speak truth in 3/4. A and B agree in a certain statement. Find the probability that the statement is true.

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy) .

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy).

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy) .

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy) .

Probability that A speaks truth is 3/5 , and that for B is 7/10 . If they agree on a statement, then probability that this statement is true is

Probability that A speaks truth is (4)/(5) A coin is tossed. A reports that a head appears. The probability that there was head is

Probability that A speaks truth is 4/5 . A coin is tossed A reports that a head appears. The probability that actually there was head is