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

The video tutorial explains a probability question involving a game designed by David using a fair 6-sided dice and a 5-sided spinner. The tutorial breaks down the probability of winning £5 and £2, and calculates the expected profit from the game. It also discusses the difference between theoretical probability and actual outcomes, emphasizing the importance of understanding probability rules and careful reasoning.

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

• It indicates that each outcome has an equal probability of occurring.

• It suggests that the game is free to play.

• It means the dice and spinner are made of the same material.

• It implies that the dice and spinner are of the same size.

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

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

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

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

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

What is the probability of winning £2 in David's game?

• 1/6

• 1/5

• 1/3

• 2/3

How much profit does David expect to make from 30 players?

• £0

• £15

• £5

• £10

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

• Due to errors in calculating the probabilities.

• Because the game rules might change.

• Due to the use of theoretical probability, which may not match actual outcomes.

• Because players might not pay the entry fee.