Six bags of sweets each contain green, white, yellow, orange and red sweets with equal numbers of each colour (5 flavours).
You pick sweets from the bag without looking. If you pick 2 sweets what different combinations of colours can you get?
Odds and Evens
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
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
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 […]
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 […]
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
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 […]
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
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 […]
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 […]
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