An anti-air craft gun can take maximum four at an enemy plane, moving away from it. The probabilities oh hitting the plane at first, second, third and fourth shot are `0.4, 0.3, 0.2 and 0.1` respectively. What is the probability that the gun hits the plane? Do you agree with us that the success will raise the morale of Indian Army?

Three persons A,B and C apply for a job of manager in a private company. Chances of their selection are in the ratio 1:2:4. The probabilities that A,B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find the probability that it is due to appointment of C.

Three persons A, B and C apply for a job of Manager in a Private Company. Chances of their selection (A, B and C) are in the ratio 1 : 2 : 4. The probabilities that A, B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find the probability that it is due to the appointment of C.

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is (A) 0.06 (B) 0.14 (C) 7/22 (D) 0.7

What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0.

10 different vectors are lying on a plane out of which four are parallel with respect to each other. Probability that three vectors chosen from them will satisfy the equation lambda_1a+lambda_2b+lambda_3c=0, where lambda_1, lambda_2 and lambda_3ne=0 is

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant.: P(X=x)={(0.1,,if,,x=0),(kx,,if,,x=1or2),(k(5-x),,if,,x3or4),(0,,,,otherwise):} What is the probability that you study at least two hours ? Exactly two hours? At most two hours?

Let X denotes the number of hours you study during a randomly selected schoold day. The probabildity X can take the value of x is given by P(X=x)={(0.1,ifx=0),(kx, if x=1or2),(k(5-x),if x=3or4'),(0,otherwise):} where k is some unknown constant What is the probability that you study for atleast two hours?

Let X denotes the number of hours you study during a randomly selected schoold day. The probabildity X can take the value of x is given by P(X=x)={(0.1,ifx=0),(kx, if x=1or2),(k(5-x),if x=3or4'),(0,otherwise):} where k is some unknown constant What is the probability that you study for atmost two hours?

The line of greatest slope on an inclined plane P_1 is the line in the plane P_1 which is perpendicular to the line of intersection of the plane P_1 and a horizontal plane P_2 . Q. The coordinate of a point on the plane 2x+y-5z=0, 2sqrt(11) unit away from the line of intersection of 2x+y-5z=0 and 4x-3y+7z=0 are