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

The video tutorial explains how to analyze a probability tree diagram involving a biased six-sided dice. It highlights the importance of ensuring that the probabilities on the branches add up to one. The tutorial identifies three errors in the diagram: the branches not summing to one, incorrect probability values for landing on a four, and inconsistencies in the probability of not landing on a four. The focus is on understanding and correcting these errors to ensure accurate probability calculations.

What is the significance of the dice being biased in the context of the probability tree diagram?

• It indicates that the probability of each outcome is equal.

• It means the dice has more than six sides.

• It implies that the dice is not used in the diagram.

• It suggests that some outcomes are more likely than others.

What is the first error identified in Amir's probability tree diagram?

• The labels on the branches are incorrect.

• The branches do not add up to one.

• The probability of landing on a four is too high.

• The diagram is missing a branch.

In the probability tree diagram, what should the sum of the probabilities on each branch be?

• 0.9

• 1

• 0.5

• 0.75

What inconsistency is found in the probability of landing on a four in the tree diagram?

• It changes from 0.65 to 0.35.

• It remains constant at 0.65.

• It changes from 0.35 to 0.65.

• It is not mentioned in the diagram.

What is the third error mentioned in the probability tree diagram?

• The diagram has an extra branch.

• The probability of landing on a four is not given.

• The labels are missing from the branches.

• The probability of not landing on a four changes from 0.25 to 0.35.