The odds of us getting one specific player from that group are poor, but the collective odds of getting one of them are very good.
quote:If my percentages were correct, we would have a 62% chance of getting one of them.
odds of independent events don't add up to an overall probability of at least one of them occurring
You are correct that you cannot add the percentages of independent events. To calculate the probability of getting at least one of them, first find the probability that we get none of them. That's .65 * .9 * .9 * .95 * .75 = .3751, which is 38%. That means that there is a 62% chance that we get at least one of them.