Lesson: Conditional Probability: Tree Diagrams Mathematics
In this lesson, we will learn how to use tree diagrams to calculate conditional probabilities.
A bag contains 3 blue balls and 7 red balls. David selects 2 balls without replacement and draws the following tree diagram.
Given that the first ball is red, find the value of that represents the probability that the second ball selected is red.
Jacob flips a coin and then rolls a six-sided die. He draws a tree diagram to represent this.
Find the probability that the die showed a number less than 3 given that the coin showed tails.
A bag contains 22 red balls and 15 black balls. Two balls are drawn at random. Find the probability that the second ball is black given that the first ball is red. Give your answer to three decimal places.