A car manufacturer produces only red and blue TCS Models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?

a) 1 in 16
b) 1 in 125
c) 1 in 32
d) 1 in 25

• p(5 consecutive cars of same color)=p(5 red)+p(5 blue)
  =1/2^5+1/2^5
  =1/16
  
  Hence answer is 1/16
• 10 years agoHelpfull: Yes(50) No(2)
• answer is 1/16
  as car manufacture produces only two colour cars then probability of that red and blue car is 1/1 and 1/2
  5 consecutive cars of same colour will come for testing, then
  (1/2)^5+(1/2)^5=1/16
• 10 years agoHelpfull: Yes(8) No(0)
• 1 in 16
  soln:
  - - - - - we have to fill the five dashes with 5 cars of colors red & blue,we can fill the 1st dash with blue or red ,so we have 2 choices to fill the 1st dash & in the same way we fill the remaining dashes ,so 2*2*2*2*2=32 and all same color cars i.e,(red or blue) we can take (1/32)+(1/32)=1/16
• 10 years agoHelpfull: Yes(3) No(0)
• prob of selecting one colour is 1/2
  then 5 consecutive cars of same colour ...prob=(1/2* 1/2 * 1/2 *1/2 * 1/2) +(1/2* 1/2 * 1/2 *1/2 * 1/2)
  for red+blue
  hence ans is 1/16
• 10 years agoHelpfull: Yes(1) No(0)
• who told u that no of blue color and red color cars are same
  ?
• 9 years agoHelpfull: Yes(1) No(0)
• c) 1 in 32
  probability of each is 1/2 therefore for consecutive same color will be (1/2)^5
  
• 10 years agoHelpfull: Yes(0) No(3)
• 9c2=36
  9*8/2*1 = 36
• 10 years agoHelpfull: Yes(0) No(0)