The probability that the first egg is hardboiled and the second is raw is:
p = 9/44 = 0.205
We know that there are 12 eggs, 3 are raw and the other 9 are hardboiled.
The probability that the first egg is hardboiled is equal to the quotient between the number of hardboiled eggs and the total number of eggs:
P = 9/12
Then for the second egg, it must be raw, the probability can be obtained in the same way, but because we already got a hardboiled egg, now there is a total of 11 eggs, so we get:
Q = 3/11
The joint probability is the product of the individual probabilities, so we get:
probability = (9/12)*(3/11) = 9/44 = 0.205
If you want to learn more about probability:
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