Three terrorists are employed to shoot a renowned person Mr. X only one bullet is sufficient to kill him if it strikes in the head.the probabilities of the terrorists striking Mr.X's head by their bullets are 0.2,0.3 and 0.4.what is probability that Mr.X is shot dead?
(A)0.336 (B)0.9 (C)0.1 (D)0.760 (E)0.664

• Ans e)0.664
  probability that none shots Mr.X=(1-0.2)*(1-0.3)*(1-0.4)=0.336
  now probability Mr.X is killed=(1-probability that Mr.X is not killed)=1-0.336=0.664
• 14 years agoHelpfull: Yes(26) No(0)
• all are independent event so p(shot dead)=.2+.3+.4=0.9
  B is the right answer
• 14 years agoHelpfull: Yes(5) No(12)
• probability of 1st shot is .2
  if dsnt hit & 2nd shot take place then probability is (1-.2)*.3=.8*.3=.24
  if 1st & 2nd dsnt hit then prob of 3rd is (1-.2)*(1-.3)*.4=.224
  hence total=.2+.24+.224=.664
• 14 years agoHelpfull: Yes(5) No(0)