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Question

Once card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack,Queen and King only)?

1/13

3/13

3/52

9/52

ANSWER : 2

Descrption

<pre>

1 টি card  নেবার মোট ঘটনা 
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>52</mn></mmultiscripts></math>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>12</mn><mo>&#xA0;</mo><mo>"</mo><mo>&#xA0;</mo><mi>f</mi><mi>a</mi><mi>c</mi><mi>e</mi><mo>&#xA0;</mo><mi>c</mi><mi>a</mi><mi>r</mi><mi>d</mi><mo>&#xA0;</mo></math> হতে 1 টি নেওয়া যাবে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mspace linebreak = "newline"/><mspace linebreak = "newline"/><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>12</mn></mmultiscripts><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>52</mn></mmultiscripts><mo> = </mo><mfrac><mrow><mn>52</mn><mo>!</mo></mrow><mrow><mn>1</mn><mo>!</mo><mo>(</mo><mn>52</mn><mo> - </mo><mn>1</mn><mo>)</mo><mo>!</mo></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>52</mn><mo>&#xD7;</mo><mn>51</mn><mo>!</mo></mrow><mrow><mn>1</mn><mo>!</mo><mo>&#xD7;</mo><mn>51</mn><mo>!</mo></mrow></mfrac><mo> = </mo><mn>52</mn><mspace linebreak = "newline"/><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>12</mn></mmultiscripts><mo> = </mo><mfrac><mrow><mn>12</mn><mo>!</mo></mrow><mrow><mn>1</mn><mo>!</mo><mo>(</mo><mn>12</mn><mo> - </mo><mn>1</mn><mo>)</mo><mo>!</mo></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>12</mn><mo>&#xD7;</mo><mn>11</mn><mo>!</mo></mrow><mrow><mn>1</mn><mo>!</mo><mo>&#xD7;</mo><mn>11</mn><mo>!</mo></mrow></mfrac><mo> = </mo><mn>12</mn><mspace linebreak = "newline"/><mi>P</mi><mi>r</mi><mi>o</mi><mi>b</mi><mi>a</mi><mi>b</mi><mi>i</mi><mi>l</mi><mi>i</mi><mi>t</mi><mi>y</mi><mo> = </mo><mfrac><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>12</mn></mmultiscripts><mmultiscripts><mi>C</mi><mn>1</mn><none/><mprescripts/><none/><mn>52</mn></mmultiscripts></mfrac><mo> = </mo><mfrac><mn>12</mn><mn>52</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mn>3</mn><mn>13</mn></mfrac></math>
</pre>

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