Questions: What is the probability that a random point on AB will be on CD ?

What is the probability that a random point on AB will be on CD ?
Transcript text: What is the probability that a random point on $\overline{\mathrm{AB}}$ will be on $\overline{\mathrm{CD}}$ ? \[ P=[?] \]
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Solution

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Solution Steps

Step 1: Find the length of CD

The length of CD is the difference between the values at points D and C. CD = 65 - 35 = 30

Step 2: Find the length of AB

The length of AB is the difference between the values at points B and A. AB = 70 - 30 = 40

Step 3: Calculate the probability

The probability that a random point on AB will be on CD is the ratio of the length of CD to the length of AB. Probability = CD / AB = 30 / 40 = 3/4 = 0.75

Final Answer

0.75

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