"Successive independent events are a sequence of actions or trials where they occur one after another, in a sequence, and the outcome of the 2nd event is not affected ('is independent of..') the outcome of the 1 event."

连续独立事件是指一系列按顺序相继发生的行动或试验，其中后一事件的结果不受前一事件结果的影响（即相互独立）

• Flipping a fair coin and getting heads on the first flip, P(H) = 1/2, does not change the probability of getting heads on the second flip.' It's still 1/2.

• 抛掷一枚均匀硬币，第一次得到正面的概率为1/2，这并不会影响第二次得到正面的概率，它仍然是1/2。

• Drawing a card from a deck of 52 cards looking for an Ace P(Ace) = 4/52, then replacing it. does not change the probability of getting another Ace in the next draw. It's still 4/52.

• 从一副52张的牌中抽一张牌，抽到A的概率是4/52，然后将牌放回，这不会影响下次再抽到A的概率，它仍然是4/52。

• Spinning this class's 'wheel of names' looking for Christian P(Christian) = 1/24, then NOT choosing to remove him, means that the probability of landing on Christian again in the next spin is still 1/24.

• 转动班级的“姓名转盘”，第一次转到克里斯蒂安的概率是1/24，如果不选择移出他的名字，那么下一次转动时转到克里斯蒂安的概率仍然是1/24。

"We can illustrate all these outcomes and their probabilities in a TREE DIAGRAM."

“所有这些结果及其概率，我们都可以用树状图来表示。”

Open DeepSeek and enter your own version of the prompt below, then add the scenario and screenshot of the diagram to the Padlet below.

请打开 DeepSeek，输入以下提示语的你自己的版本，然后将情境说明和树状图的截图添加到下面的 Padlet 中。

⚠️ "Always, always add your name to your Padlet, or you will not be able to get 'consistent' on your report cores." ⚠️  

⚠️ “务必、务必在你的 Padlet 帖子上添加你的名字，否则你的报告评分将无法获得‘一致’。” ⚠️  

Prompt (**提示语):

"Create a tree diagram to illustrate the following scenario: The probability of passing a music exam is 0.7. Rob and then Jim both sit the music exam, and the outcome of Rob's test does not impact the outcome of Jim's test. Complete the tree diagram and calculate the probability of each outcome."

“请创建一个树状图来说明以下情境: 一场音乐考试通过的概率是 0.7。罗伯和吉姆先后参加这场音乐考试，并且罗伯的考试结果不会影响吉姆的考试结果。请完成这个树状图，并计算每一种结果发生的概率.”