Conditional probability

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

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

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

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

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?

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?

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

The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?