Probability 12 Science Maths CBSE Answers for MCQ in English

Similar Questions from CBSE, 12th Science, Maths, Probability

Question 1 : Out of a group of 30 honest people, 20 always speak the truth. Two persons are selected at random from the group. Find the probability distribution of the number of selected persons who speak the truth. Also find the mean of the distribution. What values are described in this question?     (View Answer Video)

Question 2 : An insurance company insured 2,000 cyclists, 4,000 scooter drivers and 6,000 motorbike drivers. The probability of an accident involving a cyclist, scooter driver and a motorbike driver are 0.01, 0.03, and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?     (View Answer Video)

Question 3 : In a game, a man wins rupee five for number six and losses rupee one for any other number, when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins/losses. (View Answer Video)

Question 4 : In a hockey match, both teams A and B scored same number of goals up to the end of the game, so to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of the team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.      (View Answer Video)

Question 5 : A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability of the random variable X? Find the mean.   (View Answer Video)

Questions from Other Chapters of CBSE, 12th Science, Maths

Vector Algebra

Question 1 :  P and Q are two points with position vectors and respectively. Write the position vector of a point R which divides the line segment PQ externally in the ratio 2:1.  (View Answer Video)

Question 2 : Find the sum of the vectors  and  (View Answer Video)

Question 3 :  If  and  are two equal vectors, then write the value of   (View Answer Video)

Question 4 : Write the position vector of the point which divides the join of points with position vectors and in the ratio 2:1.  (View Answer Video)

Question 5 : Find a vector in the direction of that has magnitude 7 units.   (View Answer Video)

Continuity and Differentiability

Question 1 : If , find  in terms of y alone. (View Answer Video)

Question 2 : If x and y are connected parametrically by the equation   , without eliminating the parameter, find . (View Answer Video)

Question 3 : Differentiate w.r.t.x the function . (View Answer Video)

Question 4 : Differentiate  w.r.t.x. (View Answer Video)

Question 5 : Find  for the function . (View Answer Video)

Application of Derivatives

Question 1 : The rate of change of the area of a circle with respect to its radius r at r=6cm is: (View Answer Video)

Question 2 : It is given that  at x=1, the function attains its maximum value on the interval[0,2]. Find the value of a? (View Answer Video)

Question 3 : A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic meters per hour. Then the depth of the wheat is increasing at the rate of: (View Answer Video)

Question 4 : The line  is a tangent to the curve  at the point. (View Answer Video)

Question 5 :

The total revenue in Rupees received from the sale of 'x' units of a product is given by :

                                    
The marginal revenue, when x=15 is :
 

(View Answer Video)