Ok, this is a really basic question, which I answered without thinking instantly and am now tying myself in knots over!!! two people pick one team each from two independent world cup sweepstakes (i.e. one person picks from one sweepstake and the other person picks from the other sweepstake, so they both have one team each). What is the probability that they both pick the same team? Answering this instinctively, I said there are 32 teams, so the prob. of picking any given team is 1/32 and therefore, by the independence of the sweepstakes, the probability of both picking the same team is (1/32)^2, i.e. 1/1,024. Is this right though, or am I missing something? I will appreciate any light anyon is able to throw on this!!
I think that would give you the probability that they both pick the same specific team. e.g that they both pick England. To get the probability they both pick the same team, regardless of what team that is, I think it's just calculated as 1/32. The first person has to pick a team anyway, and the probability that the second person draws the same one is 1/32.
