Expected value different types of dice

So I’m preparing for some quant intern interview questions and from what I’ve seen online they ask many expected value questions. I have been going through some but I find it hard to explain my thought process etc when calculating it by hand. (You can only use pen and paper, no calculator or pc)

For example, how would you solve and explain the following:

I roll a 6-sided and 10 sided die. I get paid the exact sum of the dice only if I guess the sum correctly. What number do I guess?

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Nevin Manimala

Nevin Manimala is interested in blogging and finding new blogs https://nevinmanimala.com

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