GCSE Secondary Maths Age 13-17 - Probability & Statistics: Pythagoras Theorem - Explained

The video tutorial explains a probability-based game designed by David, involving a fair 6-sided dice and a 5-sided spinner. Players can win either £5 or £2 based on specific outcomes. The tutorial walks through the probability calculations for each winning scenario and determines the expected profit for David. It also discusses the difference between theoretical and actual profit due to the nature of probability.

What does the term 'fair' imply in the context of the dice and spinner used in David's game?

• The dice and spinner have the same number of sides.

• The game is free to play.

• The dice and spinner are made of the same material.

• Each outcome has an equal chance of occurring.

How is the probability of winning £5 calculated in David's game?

• By dividing the probability of rolling a 5 by the probability of spinning a 5.

• By multiplying the probabilities of rolling a 5 and spinning a 5.

• By adding the probabilities of rolling a 5 and spinning a 5.

• By subtracting the probability of not rolling a 5 from 1.

What is the probability of winning £5 in David's game?

• 1 in 10

• 1 in 5

• 1 in 6

• 1 in 30

Which method is used to calculate the probability of winning £2 in David's game?

• Dividing the probability of rolling a 1 by the probability of spinning a 1.

• Multiplying the probabilities of rolling a 1 and spinning a 1.

• Adding the probabilities of rolling a 1 and spinning a 1.

• Calculating the probability of not getting a 1 and subtracting from 1.

How many people are expected to win £2 in David's game?

• 20 people

• 10 people

• 15 people

• 5 people

What is David's expected profit from the game?

• £15

• £0

• £10

• £5

Why might David's actual profit differ from the expected profit?

• The game rules might change.

• Theoretical probability does not guarantee actual outcomes.

• Players might cheat.

• The spinner might be biased.