A Box Contain 3 Red And 2 White balls and balls are taken out one by one Without replacement. So what is the Probability the White Balls Always come at Last?

• ans-4/10 i.e 2/5
  total possibilities=5!/(3!*2!)=10
  possibility that white is last = 4!/(3!*1!)=4
  so,probability=4/10=2/5
• 10 years agoHelpfull: Yes(35) No(2)
• Frnd manikandan...the 4 possible pairs will be like RRRW , RRWR , RWRR , WRRR
  Hence 4* (3/5*2/4*1/3*1)
  i.e., 4* 1/10
• 10 years agoHelpfull: Yes(10) No(2)
• soln:
  probability of white balls always coming last is equal to probability of all red balls taken out at first
  i,e. (3/5)*(2/4)*(1/3) = 1/10 Ans.
• 10 years agoHelpfull: Yes(5) No(5)
• Its 2/5.
  Keep 1 white ball fix at last
  Then there will be 4 combinations
  Hence 4* 1/10 = 2/5
• 10 years agoHelpfull: Yes(5) No(1)
• Actually here little bit mistake the question was
  What is the Probability that one of the white balls always come at last??
• 10 years agoHelpfull: Yes(4) No(1)
• if any of the white ball can come last then
  any of the three red balls and one of the white balls should be taken out first
  i,e. (4/5)*(3/4)*(2/3)=2/5 Ans.
• 10 years agoHelpfull: Yes(4) No(2)
• the psssibility for favaourable events=R/W,R/W,R/W,R/W,W
  so tatal arrangement=4!/3!=4
  total num of events=5!/(3!*2!)=10
  hence probabilty=4/10=2/5 ans....
• 10 years agoHelpfull: Yes(4) No(1)
• Here is my take.
  
  We have 3 red and 2 White balls . We just want that in the 5th ball must be white.
  
  We can visualize it as arrangement of 5 balls (of which 3 are red and 2 are white) in such a way that 5th ball must be white.
  
  We can fix 1 white ball at 5th place and can arrange remaining balls (Total 4 = 3 Red + 1 White) as
  
  4!/3! = This is our desired outcome
  
  Probability = {Desired Outcomes}{Total Outcomes}
  
  Desired Outcomes = 4
  
  Total outcomes = 5!/3!2!= 10
  
  Probability = 4/10 = 2/5
• 9 years agoHelpfull: Yes(4) No(1)
• hai srivastava, how become 4* 1/10 pls explain
• 10 years agoHelpfull: Yes(1) No(1)
• There are two White balls in the bag so white also come at Any Position
• 10 years agoHelpfull: Yes(0) No(4)
• I think its 3/10.
  
• 10 years agoHelpfull: Yes(0) No(4)