<p>I'm really confused by some probability problems.
Here is one - </p>
<p>What is the probability of getting a sum of ten in tossing two fair dice?</p>
<p>My friend and I have different answers. We don't know which is correct. My answer is: 1/12. Because: the chance of getting 5 from the first dice is 1/6, the chance of getting 5 from the second one is 1/6. these two events are independent of each other but must happen at the same time, so the chance of getting 5 and 5 (add up to be 10) is 1/36.</p>
<p>Then the chance of getting 4 and 6 is 1/36, the chance of getting 6 and 4 at the same time is 1/36. </p>
<p>So the total probability is 3/36 which is 1/12. </p>
<p>What do you think? Let me know if you think I'm wrong and give me the reason please!! Thanks a lot.</p>