树形图

通过列举、表格和树形图生成单个事件与复合事件的理论样本空间，并计算理论概率，即有利结果数除以所有等可能结果总数。

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

学习证据 / Evidence

• 列出掷两个骰子的全部36种结果，并求出总点数为7的概率。
• 为两个相继事件画出树形图，并沿分支相乘，算出复合事件的概率。
• 使用样本空间图计算复合事件的概率，并化简该分数。

• List all 36 outcomes when rolling two dice and find P(total = 7)
• Draw a tree diagram for two successive events and multiply along branches for combined probabilities
• Calculate the probability of a combined event using a sample space diagram and simplify the fraction

评估问题 / Assessment

{{name}}能否画出一个树形图，来列出两步概率情境中的所有可能结果——比如先抛一枚硬币，再掷一个骰子——并计算出某个特定组合发生的概率？

Can {{name}} draw a tree diagram to map out all possible outcomes of a two-step probability situation — like flipping a coin and then rolling a die — and calculate the probability of any particular combination?