Question 22 of 27advanced🔧 ApplyNumerical5 marks
A basket contains 4 red balls and 5 blue balls. One ball is drawn and laid aside, and a second ball is drawn. Draw a tree diagram to represent the possible outcomes and probabilities. Use the tree diagram to answer the following questions.
(i)
What is the probability of drawing a red ball and then a blue ball?
Answer
5/18
(ii)
What is the probability of drawing 2 blue balls?
Answer
5/18
Explanation
The textbook introduces tree diagrams to visualize multi-step experiments where each branch represents a possible outcome. For drawing without replacement, the probabilities on the subsequent branches change based on the previous outcome. Multiplying probabilities along a specific path gives the probability of that sequence of outcomes.