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

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

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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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.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the term 'fair' in the context of David's game?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the probability of winning £5 in David's game.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the two different situations that need to be considered when calculating probabilities in the game.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the probability of winning £2 is calculated in the game.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the expected profit David can make from the game?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss why David's actual profit may differ from the expected profit.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the key probability rules applied in this game scenario?

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