Odds and Evens Here is a set of numbered balls used for a game:

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Presentation transcript:

Odds and Evens Here is a set of numbered balls used for a game: To play the game, the balls are mixed up and two balls are randomly picked out together. For example: The numbers on the balls are added together: 4+5=9 If the total is even, you win. If the total is odd, you lose.

Odds and Evens Here is a set of numbered balls used for a game: How can you decide whether the game is fair? If the total is even, you win. If the total is odd, you lose.

Odds and Evens Here is a set of numbered balls used for a game: I will now take two discs at random ten times. Record the outcomes on your whiteboards. If the total is even, you win. If the total is odd, you lose.

Odds and Evens Here is a set of numbered balls used for a game: Do you think the game is fair? Can you come up with a convincing argument as to why you think this? Use your whiteboards for your ideas. If the total is even, you win. If the total is odd, you lose.

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Odds and Evens What if I had these numbered balls? Work in your pairs to find the probability of winning with this set. 134 455 1258 622 478 777

Odds and Evens You should recognise the probability of winning – it is the same as for Set C. Why is this?

Odds and Evens You should recognise the probability of winning – it is the same as for Set C. Why is this? The actual numbers don’t matter – just whether they are even or odd.