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Build up your confidence to state and establish the addition theorems on probability and use them in solving problems.

## (1) Theorems on basic laws of probability.

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

## (2) Addition theorems on probability

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

## (3) Theorems on odds of an event and occurrence of a complementary event.

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

## (4) Problem solving section

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

## (5) Interactive Quiz section

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

## (6) Course wrap-up

- Introductory Lecture
- Theorem 1 on basic laws of probability.
- Theorem 2 on basic laws of probability
- Theorem 3: Addition theorem for two events.
- Theorem 4: Addition theorem for mutually exclusive events.
- Theorem 5: Addition theorem for mutually exclusive and exhaustive events
- Theorem 6: Addition theorem for three events
- Odds of an event
- Theorem 7: Probability of occurrence of a complementary event.
- Theorem 8: Theorem on odds of an event
- Theorem 9: Results on occurrence of a complementary event.
- Theorem 10: Application of addition theorem for two events .
- Theorem 11: Application of theorem 3 and theorem 9.
- Use of probability in solving coin and die problem
- Probability & game of cards
- Problem based on combinations or selections
- Conclusion

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