If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
2 answers:
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<h3>{ 13, 9, 6} represent the sides of a triangle</h3>
<em><u>Solution:</u></em>
<em><u>Use the triangle inequality law</u></em>
The sum of the lengths of any two sides of a triangle must be greater than the third side
<em><u>Option A</u></em>
{13, 9, 6}
Also,
Thus, sum of length of any two sides is greater than third side
Therefore, { 13, 9, 6} represent the sides of a triangle
<em><u>Option B</u></em>
{12, 7, 20}
19 is not greater than 20
Therefore, {12, 7, 20} does not represent the sides of a triangle
<em><u>Option C</u></em>
{25, 50, 75}
75 is equal to 75
Therefore, {25, 50, 75} does not represent the sides of a triangle