An irregular six faced die is thrown and the expectation that in 10 throws it will give live even numbers is twice the expectation that it will give four even numbers. How many times in 10000 sets of 10 throws would you expect it to give no even number?

Let's begin by defining some notation:

• Let E be the event of getting an even number on a single throw of the die.
• Let F be the event of getting an odd number on a single throw of the die.
• Let X be the number of even numbers obtained in 10 throws of the die.
• Let Y be the number of even numbers obtained in a single throw of the die.

Since the die has six faces, each with a different number, we can assume that the probability of getting an even number is 3/6 = 1/2, and the probability of getting an odd number is 1/2.

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