Question

discrete math

1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks)

Answer 1

10 a) I Red, R 4 marbles I blue I green, yellow B У Sample space (with replacing) {(B, R), (8,0), CR, C2, CR,Y), (DR), (BB) (BG) (B, Y, CG, R), (G, B), (G,G),(G, y). CYR), (Y,B),(4,G),(YY Crysy Sample space without replacing (R,B), +(RG), (R, Y), (B, R), (B, Q2, (BY) (GR), (GB) (G, 42, CYR), (Y,B),(Y/G) VG) } 20 5 Red 8 blue balls. R 7 Prl both are Red 5 R 8 5 5 5+8 Х R 7 7+8 B to B 5 13 X 7 7 39 15 30 a) at least one 6 s-diget 5x 1x 10" 15x10 5000 combinations ut contain at least one six - 6 may occur cat any of 15 places. Now other 9 places are left where we can fill it with 0 to 9 choices 110 cs ned with Corner