When you say "I want to make sure that I solved them correctly, the tasteful, less suspicious thing to do is to list YOUR solutions, so that the responder can either say "that one's correct" or else show you how to do it.
1). HHH HHT HTH HTT THH THT TTH TTT a). The probability of each one is 1/8 = 12.5% . b). There's only one of those on the list. 12.5% c). 12.5% d). There are 3 ways that can happen. 3/8 = 0.375 = 37.5%
2). There are 16 possible outcomes. a). Prob of each outcome is 1/16 = 0.0625 = 6.25% . b). There's only 1 way that can happen, so it's 6.25% . c). There's only 1 way that can happen, so it's 6.25% . d). There are 6 ways that can happen. Prob = 6/16 = 37.5% e). There are 4 ways that can happen. Prob = 4/16 = 25%
