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Option B is correct.
Option C is  correct.
A and B are two events such that  and                                                                                                  Option A is correct.
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.
Let event in which A fails and B fails be
Let event in which A fails and B fails be
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.
Total balls in urn = 25 Balls bearing mark 'X' =10 Balls bearing mark 'Y' =15   balls are drawn with replacementt. Let Z be random variable that represents number of balls with Y mark on them in trial. Z has binomail distribution with n=6.
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