**"Probability"**

## Odds and Evens

*By toni On 11 September, 2021 · Leave a Comment*

Do your own experiments using number cards to play the games and pick 2 cards at random each time.

In Game A an envelope or bag contains balls, or cards, numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random. If the total is even you win. […]

## Game of Pig

*By toni On 31 December, 2020 · Leave a Comment*

Both players start with zero points and take turns to throw the dice as many times as they like adding the total at each throw to their score.

Suppose you throw a double one. On the next throw, is your chance of throwing a double one the same, more likely or less […]

## Red or Black Game

*By toni On 23 December, 2020 · Leave a Comment*

This is a game for 2 players. You need a pack of 52 playing cards. Shuffle the cards. One player is dealer and turns the cards face up one at a time. Before seeing the card, the other player must say ‘red’ or ‘black’ and wins the card […]

## Same Birthday

*By toni On 20 November, 2020 · 10 Comments*

In a group of 23 people there is more than a 50% chance that two will have the same birthday? Does that surprise you?

Including February 29th how many different birthdays can there be? Start with any 3 people A, B and C. What is the probability that B has a different birthday from […]

## Same Birth-month

*By toni On 20 November, 2020 · 8 Comments*

The probability that there are two people in a group with birthdays in the same month depends on the size of the group.

What if the group has more than twelve people?

What about a group of 2 people? What is the probability they have birthdays in different months?

## Nines and Tens

*By toni On 18 November, 2020 · 26 Comments*

Both 9 and 10 can be made up in 2 different ways by adding pairs of the numbers 1, 2, … 6, that is

9 = 3 + 6 = 4 + 5

10 = 4 + 6 = 5 + 5

Explain why it is that when you throw two dice you are more […]

## Mathsland Lottery

*By toni On 17 November, 2020 · Leave a Comment*

In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.

Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]

## At least one

*By toni On 12 November, 2020 · Leave a Comment*

If Busi has 3 children what is the probability that at least one will be a girl?

Imagine tossing a coin three times.

What’s the probability you will get a head on at least one of the tosses?

Suppose you drew this tree diagram. How would it help you to find the answers to […]

## Lucky Numbers

*By toni On 24 September, 2020 · Leave a Comment*

In the Lucky Numbers Game 6 balls are numbered 1 to 6 and 3 balls are chosen at random, without replacing any of the balls, so that 3 different winning numbers are chosen. There is no significance in the order of the numbers.

When you play this game you get a ticket with […]

## Epidemic

*By toni On 1 July, 2020 · Leave a Comment*

Twenty per cent of the inhabitants of a city have been inoculated against a certain disease. An epidemic hits the city and the chance of infection amongst those inoculated is 10% but amongst the rest it is 75%.

Copy and fill in the contingency table and the Venn diagram below and use them to answer […]

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