X speaks the truth in 70 percent of cases, and Y in 90 percent of cases. What is the probabiiity that they likely to contradict each other in stating the same fact ?

X speaks truth in 70 percent of cases and Y in 90 percent of cases. What is the probability that they likely to c ontradict each other in stating the same fact?

A speaks truth in 80% cases and B speaks truth in 70% cases.What is the probability that they like to contradict each other in stating the same fact.

X speaks truth in 60% and Y in 50% of the cases. Find the probability that they contradict each other narrating the same incident.

A speaks truth in 95% cases and B speaks truth in 90% cases. In what percentage of cases they like to contradict each other in stating the same fact.

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is (A) 2/19 (B) 3/29 (C) 17/19 (D) 0.54

In a factory which manufactures bulbs, machines X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of their outputs 1, 2 and 3 percent re respectively defective bulbs. A bulb is drawn at random and is found to be defective. What is the probability that it is manufactured by the machine Y?

Consider two simple harmonic motion along x and y- axis having same frequencies but different amplitudes as x=A sin (omegat+varphi ) (along x axis) and y= B sin omega t ( along y axis). then show that (x^(2))/(A^(2))+(y^(2))/(B^(2))-(2xy)/(AB) cos varphi = sin^(2) varphi and also discuss the special cases when varphi =pi Note : when a particle is subjected to two simple harmonic motion at right angle to each other the particle may move along different paths.