Mathematics
Mathematics
Problem
For a particular household, there is a 90% chance that at the end of the week the rubbish bin is full, and a 50% chance that the recycling bin is full, independently of one another. a. Draw a tree diagram to illustrate this situation. b. Find the probability that at the end of the week: - both bins are full - the recycling bin is full but the rubbish bin is not.Intuitive explanation
The key here is recognizing that "independently" means you can multiply probabilities to find the chance of combined events. Think about what outcomes are actually possible: the bins could be full together, one full and one empty, or both empty. You need to figure out which combination the problem is asking for, then use multiplication for independent events to calculate that specific probability.
Intuitive explanation
The key here is recognizing that "independently" means you can multiply probabilities to find the chance of combined events. Think about what outcomes are actually possible: the bins could be full together, one full and one empty, or both empty. You need to figure out which combination the problem is asking for, then use multiplication for independent events to calculate that specific probability.