In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability that the worker is under 25 years old? Options.
A) 0.3	B) 0.25	C) 0.45	D) 0.7	E) 0.9
Percentage of male worker = 48   Percentage of female worker = 52   Let total number of workers = 1000   number of male workers= 480   number of female workers = 520   Number of male age 25 or older = (4/10)*480= 
<gadget id="calculator">(4/10)*480</gadget>
<output>192</output>
192   Number of female age 25 or older=(2/10)*520= 
<gadget id="calculator">(2/10)*520</gadget>
<output>104</output>
104   Total number of workers 25 or older= 192+104= 
<gadget id="calculator">192+104</gadget>
<output>296</output>
296   Total number of workers under 25= 1000 - 296= 
<gadget id="calculator">1000 - 296</gadget>
<output>704</output>
704   Probability that a worker randomly selected is under 25 years old= 704/1000= 
<gadget id="calculator">704/1000</gadget>
<output>88/125 = around 0.704</output>
.704   Alternatively , since the answer options are not close , we can use estimation here .   Percentage of male worker 25 or older= (4/10)*48 = 20 % approx   Percentage of female worker 25 or older = (2/10)*52 = 10 % approx   Percentage of total worker 25 or older = 30 %   Percentage of total worker under 25 = 70 %   Probability that a worker randomly selected is under 25 years old = .7   Answer 0.7
<result>D</result>
In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability that the worker is under 25 years old?