Equally likely outcomes

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?

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

Can you help d'Alembert discover the probabilty of at least one head in two coin flips?

What are the likelihoods of different events when you roll a dice?

What is special about dice?
How can we use dice to explore probability?