Geometry Name WS 11.7: Geometric Probability Period 1. Find the probability that a point chosen at random on FJ is on the given segment.ÿ&&--- Iÿ eÿ F G H K J __L ...J.__A__i_d -8 -6 --4 -2 0 2 ' H ' 4 a. GK : P- fÿ I-5 -q! IÿZl 6 8 Iz g.ÿ 1% -71 I ,ÿ rÿ I iz 2. A shuttle to town runs every 10 minutes. The ride from your boarding location to town takes 13 minutes. One afternoon, you arrive at the boarding location at2:4L You want to g_ÿt to town by2.'57. What is the probability that you will get there in time? Time 2:41 2;43 2:45 2:47 2:49 2:61 2:U3 2:5b 2:ÿ;7 ,:, ba -I 0 2 4 6 8 10 12 "IÿAÿ Iÿ ÿ 4-o ÿ 4ÿ 14 p eÿ4ÿ 4ÿ bI 2:51 = Suppose you arrive at 2:38.._..___ÿ What is the probability that you will get to town by 2:57?..._. i3= = ÿ = 0.ÿ0 = ÿ0 3. Elena's bus runs every 25 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have to wait at least 10 minutes for the bus? i> : 2.5 4. A golf ball is hit and stops on the green, A prize is won if it stops in the painted circle, The diameters of the green and circle are shown at the right, If the ball is equally likely to stop at any point on the green, what is the probability that a pÿize is won? Trz ,?r (ÿ't.s)ÿ tqbÿ.zÿ - I : I?o On a green, the hole is 4.25 inches in diameter. Find the probability that your ball goes in the hole. (Hint: convert the hole's radius to feet,) Lÿ tÿ= q,zs 2.1zy j:ÿ, : 0,0003 For 5 to 8: Find the probability that a randomly chosen point in the figure lies in the shaded reÿLgn. Round answers Use the diagram for 9 and 10. 9. Find the probability that a randomly chosen point on the circle A is on arc CB. 10. Find the probability that a randomly chosen point in the circle lies in the shaded region. 11. A circular bucket with a diameter of 18 inches is placed inside a two foot cubic box, A small ball is thrown into the box. Find the probability that the ball lands in the bucket. r 0.76 . P - '" 12. At a local subway station, a subway train is scheduled to arrive every 15 minutes. The train waits for 2 minutes while passengers get off and on, and then departs for the next station. What is the probability that there is a train waiting when a pedestrian arrives at the station at a random time?
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