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Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.
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Three of the six vertices of a regular hexagon...
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Nov 13, 2021
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JackTerrance
Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral. A. 1/2 B. 1/5 C. 1/10 D. 1/20 Select the correct answer from above options
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Nov 13, 2021
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JackTerrance
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Correct Answer - C Three vertices out of 6 can be chosen in 6C3=20 Only two equilateral triangle can be formed ΔAEC and DelataBFD ∴ Favourable ways =2 So, required probability =2/20 =1/10
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