Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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.

Full solution

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.
  1. Calculate probability of first try: First, calculate the probability of picking a broken egg on the first try.\newlineThere are 22 broken eggs out of 1212, so the probability is 212\frac{2}{12} or 16\frac{1}{6}.
  2. Calculate probability of not picking broken egg: Next, calculate the probability of not picking a broken egg on the first try.\newlineThis is 1012\frac{10}{12} or 56\frac{5}{6}, since there are 1010 non-broken eggs.
  3. 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.\newlineAfter one non-broken egg is removed, there are 1111 eggs left, with 22 still broken.\newlineSo the probability is 211\frac{2}{11}.
  4. Find overall odds: To find the overall odds of this two-step event, multiply the probabilities of each step. 56211=1066\frac{5}{6} * \frac{2}{11} = \frac{10}{66}, which simplifies to 533\frac{5}{33}.

More problems from Multiply decimals and whole numbers: word problems