Lesson: Data Sufficiency Challenging - 22t05

Unexpected Combinations: Example 1

[Page 22 of 24]

What is the probability that the length of AC is less than or equal to ?

1) The area of circle O is 81.

2) The length of AB is 6.

This question deals with two different types of content - probability and geometry. To answer it, we must figure out whether we can determine a probability relationship, so let's start there.

The definition of probability appears below. Use it to determine what we must focus on to solve this question.

Now we must focus on the possible lengths of AC, and we must examine the diagram to do so. Use the diagram to answer the following questions. When you’re ready, click Continue.

  • How is AC related to the rest of the diagram?
  • What is the relationship between AC and the length ?

Review Statement 1 below. Is it sufficient or insufficient? Select the correct answer and then click Continue.

1) The area of circle O is 81.

  Sufficient Insufficient    

From this we can figure out that the radius of circle O is 9. But this doesn’t tell us anything about AB or BC. Statement 1 is insufficient.

Countinue

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