GCSE Secondary Maths Age 13-17 - Probability & Statistics: Tree Diagrams - Explained

The video tutorial explains how to use a probability tree diagram to calculate the chances of a team winning matches on Saturday and Sunday. It covers the process of completing the tree diagram, calculating probabilities for different outcomes, and emphasizes key rules such as branches adding up to one and multiplying probabilities across branches. The tutorial concludes with a summary of the main points and rules for solving probability tree questions.

What is the probability that the team will win on Saturday?

• 0.55

• 0.45

• 0.67

• 0.35

If the team wins on Saturday, what is the probability that they will win on Sunday?

• 0.33

• 0.45

• 0.67

• 0.35

What is the probability that the team will not win on Sunday after winning on Saturday?

• 0.33

• 0.55

• 0.67

• 0.45

How do you calculate the probability of winning exactly one match?

• Add the probabilities of winning both matches

• Add the probabilities of winning one and losing one match

• Subtract the probability of winning both matches from 1

• Multiply the probabilities of winning and not winning

What is the probability of winning exactly one match?

• 0.67

• 0.1925

• 0.1485

• 0.341

Which of the following is a key concept in solving probability tree diagram questions?

• Branches must add up to two

• Multiply probabilities across branches

• Divide probabilities across branches

• Subtract probabilities across branches

When combining different outcomes in a probability tree, what should you do?

• Divide the probabilities

• Add the probabilities

• Subtract the probabilities

• Multiply the probabilities