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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Nine or Ten?

Convince yourself that when you roll two dice you are more likely to score 9 than 10.

**If I roll 3 dice, which is more likely, a total score of 9, or a total score of 10?**

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Age 11 to 14

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Convince yourself that when you roll two dice you are more likely to score 9 than 10.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.