1.in a large bag of marbles, 25% of them are red. a child chooses 4 marbles from this bag. if the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? . a) 0.047. b) 0.141 . c) 0.211 . d) 0.063. 2.a pet supplier has a stock of parakeets of which 10% are blue parakeets. a pet store orders 3 parakeets from this supplier. if the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? . a) 0.081 . b) 0.243 . c) 0.027 . d) 0.003 . in a large bag of marbles, 25% of them are red. a child chooses 4 marbles

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)