A car manufacturer located 29 Km due west of chennai produces 250 carslour for export to Europe. However there is a problem in the paintshop and the lights have gone out. It seems that the cars can be painted only red and blue and nobody has noticed this except you as the cars come out of the testing area onto NH4: at random. What are the odds that 6 consecutive cars of the same colour will come through the test area at any one time(1 in ------------) ?

• 1 in 32
  
  6 consecutive cars of the same colour coming through the test area at any one time can be red or blue. ( 2 possibilities)
  2*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)= (1/2)^5 = 1/32
• 12 years agoHelpfull: Yes(16) No(8)
• In the above solution given by me has some calculation mistake...
  (1/2)^6= 1/64...
  Sorry for mistake..
• 12 years agoHelpfull: Yes(7) No(3)
• plz apply correct logic of probility dnt say random answer here..
  
  LOGIC---->> 1/2((1/2)^6+(1/2)^6)
  =(1/2)^6
  =1/64 Ans
• 12 years agoHelpfull: Yes(6) No(3)
• 6 consecutive cars will of two color i.e. Red or blue..
  so odds that 6 consecutive cars of same color will be through test area at any time will be (1/2)^6= 1/32
• 12 years agoHelpfull: Yes(2) No(13)
• Prob of red = 1/2
  Prob of blue = 1/2
  Prob of 5consecutive colors is (1/2)^6
  But there are two cases, cars are either all red or all blue so
  Ans will be 2*(1/32)^6 ie 1 in 32
• 12 years agoHelpfull: Yes(2) No(5)
• Or you could consider the situation that as the question says there are two colours of cars so the prob of getting 6 consecutive cars is ofcourse: 1/64
  and further taking cars of a single colour into consideration we will have the odds as 1/128.
• 9 years agoHelpfull: Yes(0) No(0)