Q. I have one dozen eggs. Two of them are broken. What is the odds that in two pics I will pick one of the broken eggs.
Calculate probability of first try: First, calculate the probability of picking a broken egg on the first try.There are 2 broken eggs out of 12, so the probability is 122 or 61.
Calculate probability of not picking broken egg: Next, calculate the probability of not picking a broken egg on the first try.This is 1210 or 65, since there are 10 non-broken eggs.
Calculate probability of second try: Now, calculate the probability of picking a broken egg on the second try after not picking a broken egg on the first try.After one non-broken egg is removed, there are 11 eggs left, with 2 still broken.So the probability is 112.
Find overall odds: To find the overall odds of this two-step event, multiply the probabilities of each step. 65∗112=6610, which simplifies to 335.
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