Probability

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Can you work out the probability of winning the Mathsland National Lottery?