A circular dart board of radius 1.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q I th circle. What is the probability that Q is closer to the center of circle than the periphery?
.25
.75
.50
1.00

• this prblm can be solved by two methods..
  1) apply area of circle formula, for Q to be closer r shud be 1/2foot.
  so area of that region is pie/4. area of dartboard is pie..therefore probability is (pie/4)/pie.. =>1/4 or .25
  2) second method is...we have 4 conditions..
  a. dart can hit the circle.
  b. dart can hit the wall.
  c. dart can hit the periphery.
  d. dart can hit the area closer to periphery (area b/w centre and periphery)
  so for 4 situations the probability for each would be 1/4 or.25
• 13 years agoHelpfull: Yes(20) No(2)
• 0.50 . by taking area . upto the middle area = 0.25pi feet^2 and from middle to phriphery area = 0.75pi feet^2. so probability nearer to centre=0.25 and probability nearer to pheriphery=0.75. so difference is 0.50.
  
• 13 years agoHelpfull: Yes(1) No(12)