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Question
There are 8 job applicants sitting, in waiting room, 4 women and 4 men. If two of the applicants are selected at random, what is the probability that both will be women?
1/2
3/7
1/4
3/12
None of these
ANSWER : 4
Descrption
<p style = "box - sizing: border - box; margin: 0px 0px 20px; font - family: 'source sans pro', 'helvetica neue', Helvetica, Arial, sans - serif; font - size: 15.73px;">এখানে, প্রথম Selection এ 8 জন Job applicants থেকে 1 জন Woman আসার Probability = 4/8 = 1/2 </p> <p style = "box - sizing: border - box; margin: 0px 0px 20px; font - family: 'source sans pro', 'helvetica neue', Helvetica, Arial, sans - serif; font - size: 15.73px;"> আবার, প্রথবার Woman আসার পর দ্বিতীয় বার Total 8 জন থেকে একজন কমে (8 - 1) = 7 জন হবে এবং </p> <p style = "box - sizing: border - box; margin: 0px 0px 20px; font - family: 'source sans pro', 'helvetica neue', Helvetica, Arial, sans - serif; font - size: 15.73px;"> সেক্ষেত্রে Woman একজন কমে হবে (4 - 1) = 3 জন । </p> <p style = "box - sizing: border - box; margin: 0px 0px 20px; font - family: 'source sans pro', 'helvetica neue', Helvetica, Arial, sans - serif; font - size: 15.73px;"> দ্বিতীয় বার 7 জন Job applicants থেকে 1 জন Woman আসার Probability = 3/7 </p> <p style = "box - sizing: border - box; margin: 0px 0px 20px; font - family: 'source sans pro', 'helvetica neue', Helvetica, Arial, sans - serif; font - size: 15.73px;"> পরপর শুরুতে দুইজনই Woman আসার মোট Probability = <span id = "MathJax - Element - 1 - Frame" class = "MathJax" style = "box - sizing: border - box; display: inline; line - height: normal; font - size: 15.73px; word - spacing: normal; overflow - wrap: normal; white - space: nowrap; float: none; direction: ltr; max - width: none; max - height: none; min - width: 0px; min - height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex = "0" role = "presentation" data - mathml = "<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>&#x00D7;</mo><mfrac><mn>3</mn><mn>7</mn></mfrac><mo> = </mo><mfrac><mn>3</mn><mrow class = "MJX - TeXAtom - ORD"><mn>14</mn></mrow></mfrac></math>"><span id = "MathJax - Span - 1" class = "math" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline - block; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; width: 5.614em;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline - block; position: relative; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; width: 5.042em; height: 0px; font - size: 17.4603px;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; clip: rect(1.148em, 1005.04em, 2.809em, - 999.997em); top: - 2.23em; left: 0em;"><span id = "MathJax - Span - 2" class = "mrow" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal;"><span id = "MathJax - Span - 3" class = "mfrac" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline - block; position: relative; border: 0px; padding: 0px; margin: 0px 0.117em; vertical - align: 0px; line - height: normal; width: 0.461em; height: 0px;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.169em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.29em, 4.183em, - 999.997em); top: - 4.406em; left: 4.01562px;"><span id = "MathJax - Span - 4" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">1</span></span><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.169em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.35em, 4.183em, - 999.997em); top: - 3.605em; left: 4.01562px;"><span id = "MathJax - Span - 5" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">2</span></span></span></span><span id = "MathJax - Span - 6" class = "mo" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.232em; margin: 0px; vertical - align: 0px; line - height: normal; font - family: MathJax_Main;">×</span><span id = "MathJax - Span - 7" class = "mfrac" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.232em; margin: 0px; vertical - align: 0px; line - height: normal;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline - block; position: relative; border: 0px; padding: 0px; margin: 0px 0.117em; vertical - align: 0px; line - height: normal; width: 0.461em; height: 0px;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.169em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.35em, 4.183em, - 999.997em); top: - 4.463em; left: 4.01562px;"><span id = "MathJax - Span - 8" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">3</span></span><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.169em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.35em, 4.183em, - 999.997em); top: - 3.605em; left: 4.01562px;"><span id = "MathJax - Span - 9" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">7</span></span></span></span><span id = "MathJax - Span - 10" class = "mo" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.289em; margin: 0px; vertical - align: 0px; line - height: normal; font - family: MathJax_Main;"> = </span><span id = "MathJax - Span - 11" class = "mfrac" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px 0px 0px 0.289em; margin: 0px; vertical - align: 0px; line - height: normal;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline - block; position: relative; border: 0px; padding: 0px; margin: 0px 0.117em; vertical - align: 0px; line - height: normal; width: 0.805em; height: 0px;"><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.169em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.35em, 4.183em, - 999.997em); top: - 4.463em; left: 7.01562px;"><span id = "MathJax - Span - 12" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">3</span></span><span style = "box - sizing: border - box; transition: none 0s ease 0s; position: absolute; border: 0px; padding: 0px; margin: 0px 0px 0px - 0.341em; vertical - align: 0px; line - height: normal; clip: rect(3.381em, 1000.69em, 4.183em, - 999.997em); top: - 3.605em; left: 7.01562px;"><span id = "MathJax - Span - 13" class = "texatom" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal;"><span id = "MathJax - Span - 14" class = "mrow" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal;"><span id = "MathJax - Span - 15" class = "mn" style = "box - sizing: border - box; transition: none 0s ease 0s; display: inline; position: static; border: 0px; padding: 0px; margin: 0px; vertical - align: 0px; line - height: normal; font - size: 12.3444px; font - family: MathJax_Main;">14</span></span></span></span></span></span></span></span></span></span><br /></span></p>
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