1, master the principles of classified counting and step counting, and use them to analyze and solve some simple application problems.

2. Understand the meaning of permutation, master the calculation formula of permutation number, and use it to solve some simple application problems.

3. Understand the meaning of combination, master the calculation formula and properties of combination number, and use them to solve some simple application problems.

4. Grasp the properties of binomial theorem and binomial expansion, and use them to calculate and prove some simple problems.

5. It is significant to understand the regularity and probability of random events.

6. In order to understand the significance of the probability of equal possibility events, we will use the basic formula of permutation and combination to calculate the probability of some equal possibility events.

7. In order to understand the meaning of mutually exclusive events and independent events, we will use mutually exclusive events's probability addition formula and independent event probability multiplication formula to calculate the probability of some events.

8. Calculate the probability of the event happening k times in n independent repeated tests.