A bag contains 6 red,4 white,8 blue balls.If three balls are drawn at random,find the probability that all the three balls are of same color.

• Let the the Event (E) and we are drawn three same colour balls. so,we can take 3 red balls out of 6 red balls in 6c3 ways or 3 white balls out of 4 white balls in 4c3 ways, or 3 blue balls out of 8 blue balls in 8c3 ways.
  Total balls(6+4+8)=18 balls. So we can take 3 balls out of 18 balls in 18c3 ways.
  Now P(E)=6c3/18c3+4c3/18c3+8c3/18c3
  P(E)=1/18*17*16(6*5*4+4*3*2+8*7*6)
  P(E)=480/18*17*16
  P(E)=5/51
• 7 years agoHelpfull: Yes(0) No(0)