Basic Concepts of Probability
1. \(S=\{b b, b w, w b, w w\}\)
3. \(S=\{r r, r y, r g, y r, y y, y g, g r, g y, g g\}\)
5.
a. \(\{b w, w b\}\)
b. \(\{b b\}\)
7.
a. \(\{r r, r g, g r, g g\}\)
b. \(\{r r, y y, g g\}\)
c. Ø
9.
a. \(2 / 4\)
b. \(1 / 4\)
11.
a. \(4 / 9\)
b. \(3 / 9\)
c. 0
13.
a. \(0.4\)
b. \(0.5\)
c. \(0.4\)
15.
a. 0.21
b. 0.6
c. 0.61
17.
a. \(\{b b g, b g b, b g g, g b b, g b g, g g b, g g g\}\)
b. \(\{b b b, b b g, b g b, g b b\}\)
c. \(\{g g g\}\)
d. \(\{b g g, g b g, g g b\}\)
e. \(\{g b b, g b g, g g b, g g g\}\)
19.
a. 7/8
b. 4/8
c. 1/8
d. 3/8
e. 4/8
21.
a. 0.25
b. 0.25
c. 0.05
23.
a. 0.55
b. 0.76
c. 0.19
d. 0.11
25. The relative frequencies for 1 through 6 are 0.16, 0.194, 0.162, 0.164, 0.154 and 0.166. It would appear that the die is not balanced.