State and Prove the theorem of total probability

Two dice thrown at random Using addition theorem of probability find the probability that the sum of the numbers thrown is neither 7 nor 11.

State and prove the work energy theorem for constant force.

The probability that a contractor will get a plumbing contract is 2/3 and the probability that he will not get an electric contract is 5/9 . The probability that he will get at least one contract is 4/5 .suppose A is the event that the contractor will get plumbing contract and B is the event that the contractor will get electric contract. using addition theorem of probability find the probability that the contractor will get both the contracts.

State whether the following is a probability distribution of a random variable. Give reason for your answer.

State whether the following is a probability distribution of a random variable or not. Give reason for your answer.

State whether the following is a probability distribution of a random variable. Give reason for your answer.

State whether the following is a probability distribution of a random variable. Give reason for your answer.

State work energy theorem.

State work energy theorem.

Three dice are thrown together. Find the probability of getting a total of atleast 6 .