The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?

• There are three possible cases;
  case 1:
  Only one arrow hits the target-
  probability(case1)=1/3*(1/4)
  case 2:
  Any two arrows hit the target-
  probability(case2)=2/3*(1/4)
  case 3:
  All the three arrows hit the target-
  probability(case3)=3/3*(1/4)
  
  Probability that the target is hit= P(case1) or P(case2) or P(case3)
  =1/3*(1/4)+2/3*(1/4)+3/3(1/4)
  Answer =1/2
• 9 years agoHelpfull: Yes(1) No(0)