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A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?Write your answer as a fraction in simplest form.

Question

A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?Write your answer as a fraction in simplest form.

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Solution

Sure, let's solve this step by step:

  1. First, let's find out the total number of eggs in the basket. We have 8 white eggs and 10 brown eggs, so the total number of eggs is 8 + 10 = 18 eggs.

  2. We know that half of the white eggs are cracked. So, the number of cracked white eggs is 1/2 * 8 = 4 eggs.

  3. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is selecting a cracked white egg, and the total number of outcomes is the total number of eggs.

  4. So, the probability of selecting a cracked white egg is 4 (cracked white eggs) divided by 18 (total eggs), which simplifies to 2/9.

So, the probability that a randomly selected egg is a cracked white egg is 2/9.

This problem has been solved

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