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Given function is We can rewrite it as Now, it is clear from the above that, the highest order derivative present in differential equation is  y'''' Therefore, order of given differential equation   is  4 Now, the given differential equation is not a polynomial equation in it's dervatives  Therefore, it's  degree is not defined 
Given function is We can rewrite it as Now, it is clear from the above that, the highest order derivative present in differential equation is  y' Therefore, order of given differential equation   is  1 Now, the given differential equation is a polynomial equation in it's dervatives  y 'and power raised to y ' is 3 Therefore, it's  degree is 3
Given function is We can rewrite it as Now, it is clear from the above that, the highest order derivative present in differential equation is   Therefore, the order of the given differential equation   is  2 Now, the given differential equation is a polynomial equation in its derivative y '' and y 'and power raised to y '' is 1 Therefore, it's  degree is 1
Let E1 and E2 respectively denote the event that red ball is transfered from bag 1 to bag 2 and a black ball is transfered from bag 1 to bag2.             and       Let A be the event that ball drawn is red. When a red ball is transfered from bag 1 to bag 2. When a black ball is transfered from bag 1 to bag 2.                                                                                       
Total number of determinant of second order with each element being 0 or 1 is  The values of determinant is positive in the following cases          Probability is                              
    Let A,E1, E2 respectively denote the event that a person has a heart break, selected person followed the course of yoga and meditation , and the person adopted      the drug prescription.      the probability that the patient followed a course of meditation and yoga is                                                                                                     
Let R be event of drawing red marble. Let   respectivly denote event of selecting box A,B,C. Total marbles = 40 Red marbles =15      Probability of drawing red marble from box C  is                                                                                                                           
Let R be event of drawing red marble. Let   respectivly denote event of selecting box A,B,C. Total marbles = 40 Red marbles =15      Probability of drawing red marble from box B  is                                                                                                                           
' Let R be the event of drawing red marble. Let   respectively denote the event of selecting box A, B, C. Total marbles = 40 Red marbles =15      Probability of drawing red marble from box A  is                                                                                                                             
In a throw of die, probability of getting six  = P                     probability of not getting six  = q               There are three cases : 1. Gets six in the first throw, required probability is       The amount he will receive is Re. 1 2.. Does not gets six in the first throw and gets six in the second throw, then the probability                                                           ...
Let the man toss coin n times. Probability of getting head in first toss = P                                                                                                                                                                                                                                                                                                                      The...
Probability of success is twice the probability of failure. Let probability of failure be X then Probability of success = 2X     Sum of probabilities is 1.                             Let                    and      Let X be random variable that represent the number of success in six trials.                                                                                                      ...
In a leap year, there are 366 days. In 52 weeks, there are 52 Tuesdays. The probability that a leap year will have 53 Tuesday is equal to the probability that the remaining 2 days are Tuesday. The remaining 2 days can be : 1. Monday and Tuesday 2. Tuesday and Wednesday 3. Wednesday and Thursday 4. Thursday and Friday 5.friday and Saturday 6.saturday and Sunday 7.sunday and Monday  Total cases =...
Probability of 6 in a throw of die =P                                                                          Probability that 2 sixes come in first five throw of die :                                                                                    Probability that third six comes in sixth throw :                                                                                              ...
Let p and q respectively be probability that the player will clear and knock down the hurdle.      Let X represent random variable that represent number of times the player will knock down the hurdle.                                                                                                    
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