In a regular decagon find the probability that diagnols are parallel
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9/119 is the probability that diagonals are parallel In a regular decagon
Step-by-step explanation:
Number of diagonals in decagon = 10(10- 3)/2
= 10 * 7 /2
= 35
35 Diagonals
Number of Ways of Selecting two Diagonals = ³⁵C₂ = 35 * 17
Numbers of Ways of Selecting Parallel Diagonals Pair = 5 * ³C₂ + 5 * ⁴C₂
= 5 * 3 + 5 * 6
= 45
probability that diagonals are parallel if two diagonals are randomly selected
45/(35 * 17)
= 9/119
9/119 is the probability that diagonals are parallel In a regular decagon
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