"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 2nd event."

• 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.

• 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.

• 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.

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

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

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

Prompt:

"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."