The probability that a man will live 10 more years, is and the probability that his wife will live 10 more years, is . Then, what is the probability that neither will be alive in 10 yr ?
The probability that in a year of the 22nd century chosen at random, there will be 53 Sunday, is
A girl walks 4 km towards West, then she walks 3 km in a drection 30° East of North and stops. Then, the girl's displacement from herinitial point of departures is
None of these
A.
Let O and B be the initial and final poitions of the girl, respectively.
Then, the girl's position can be shown as in the figure
(AB cos(60°) is component of AB along X-axis and AB sin(60°) is component of AB along Y-axis).
By the triangle law of vector addition, we have
OB = AO + AB
Hence, the girl's displacement from her initial point of departure is .
If a = ,b = and c = are linearly dependent vectors and , then the value of are respectively
None of these
Forces of magnitude 5 and 3 units acting in the directions and respectively act on a particle which is displaced from the point (2, 2, - 1) to (4, 3, 1). The work done by the forces is
148 units
None of these