NAME ______DATE______PERIOD ______
Word Problem Practice
Geometric Probability
Chapter 32Glencoe Algebra 1
NAME ______DATE______PERIOD ______
1. DARTS A dart is thrown at thedartboard shown. Each sector has thesame
central angle. The dart has
equalprobability ofhitting
anypoint on thedartboard.
What is theprobabilitythat
the dartwill land in ashaded
sector?
2. SPINNERS Jamie, Joe, and Patcelebrate the end
of each work week byordering spring rolls from a Chineserestaurant. The order comes with 4spring rolls so somebody gets an extraroll. Because Jamie works full time andJoe and Pat work half time, they decidewho gets the extra roll by using aspinner that has a 50% chance of comingup Jamie, and 25% chances of coming upeither Joe or Pat. Design such
a spinner.
3. RAIN A container has a square top witha hole as shown. What is the probabilitythat a raindrop thathits the containerfalls into the
hole?Round your answer
to the nearestthousandth.
4. ELECTRON MICROSCOPES Crystalplaces a
7 millimeter by 10 millimeterrectangular plate into the samplechamber of an electron microscope.
Ablack and white checkerboard pattern of
1-millimeter squares was painted overthe plate to identify different treatmentsof the material. When she turns on themonitor, she has no idea at what pointon the plate she is looking because thewhite and black contrast does not showup on the screen. If there are
2 moreblack squares than white squares, whatis the probability that she is looking at awhite square?
5. ENTERTAINMENT A rectangular dancestage is lit by two lights that light upcircular regions of thestage. The circles haveradii of the
same lengthand each circle
passesthrough the center of
the other. The stageperfectly
circumscribes the two circles.
A spectator throws a bouquet
of flowersonto the stage. Assume the bouquet hasan equal chance of landing anywhere onthe stage. (Hint: Use inscribedequilateral triangles.)
a. What is the probability that theflowers land
on a lit part of the stage?
b. What is the probability that theflowers land on the part of the stagewhere the spotlights overlap?
Chapter 32Glencoe Algebra 1