archetypal fool

Hey guys. I've never been good with statistics... I can easily handle calculus, integration, differentials, geometry, trig and algebra, but apparently the subtleties of statistics are too minute for me to understand. I had some experience with statistics in my calculus 2 class, and that is the only test I've ever failed in any math class. I'm taking a course in genetics, and obviously statistics are an important part of the class. I need help with the following questions, and I would appreciate any suggestions as well to help me overcome this problem. I understand the basics, but apparently that's not enough...

1. What is the probability of throwing two dice and obtaining a 4 and a 6? I'm getting 1/36, because the P of getting any side is 1/6, and because the conditions are independent, I multiplied them...But the correct answer is 1/18. My mind is boggling...

2. A family has five kids. What is the probability that the first and last born are male? I have no clue how to get this. Obviously, the probability of getting a single male or female is 1/2, but I can't handle the order... What do I do? The answer is 1/4.

3. What is the probability of flipping a coin six times in a row and getting three heads in a row, followed by three tails? What do I do with this? The answer's 1/64.

4. What is the probability of flipping a coin six times in a row and getting three heads in a row and three tails? Once again, how do I account for the order? The answer's 5/16.

Any help would be greatly appreciated.

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