For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/3, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?	Choose the correct choice from the following answers: A) 5/27 B) 2/9 C) 1/3 D) 4/9 E) 2/7
P(of not burning out in a six mnth period)=1/2 of P(of not burning out in prev 6 mnth period)   P(of burning out in 1st 6 mnth)= 2/3   ---&gt;P( of not burning out in 1st 6 mnth)=1-2/3=1/3   ----&gt;P(of not burning out in a six mnth period)=1/2 *1/3=1/6---&gt;P(of burning out in a six mnth period)=1-1/3=2/3   now   P( of burning out in 2nd six mnth period)=P( of not burning out in 1st six mnth)*P(of burning out in a six mnth)   =2/3 * 1/6=2/7   Ans 2/7
<result>E</result>
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/3, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?