You have a 3-litre jug and a 5-litre jug with no markings. How do you measure exactly 4 li...
A coin is flipped until two consecutive heads appear. What is the expected number of flips...
You have 9 identical-looking balls. One is slightly heavier. Using a balance scale, what i...
What is the probability that a randomly selected 5-card poker hand contains exactly one pa...
In a town, 70% of people drink coffee, 60% drink tea, and 40% drink both. What % drink nei...
You roll two dice. Given that the sum is at least 8, what is the probability the sum is ex...
How many times does the digit 9 appear from 1 to 100?
A fair coin is tossed repeatedly. What is the expected number of tosses to get 3 heads in ...
You have £1,000,000 and must bet on a game where you win 60% and lose 40%. What fraction o...
A stock is at £100. It goes up 50% then down 50%. What is the final price?
In a game, you draw cards one at a time from a shuffled deck. You win £1 if the first red ...
You're playing a game where you roll a fair die. You can take the value shown, or pay £1 t...