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. […]
Suppose you throw a double one. On the next throw, is your chance of throwing a double one the same, more likely or less […]
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 […]
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?
Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]
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 […]
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 […]