Concept explainers
To Find: The probability that all the points lie on the same straight line.
Answer to Problem 5CYP
The required probability is
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider there are 8 points on the rectangle A, B, C, D, E, F, G, H.
Consider any three points without any restriction and the possible number of ways are,
Now consider the three points with the restriction that chosen three points are on the same line and then the number of ways to select the points are
Then, the P point lie on the same line segment and the probability is,
The required probability is
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