Probability review Problem set A Answers

1. (a) \(\frac{1}{3}\)
2. (b) \(\frac{1}{2}\)

1. (a) 0.221
2. (b) 0.000512

1. (a) \(\frac{4}{7}\) ≈ 0.571
2. (b) \(\frac{12}{35}\) ≈ 0.343
3. (c) Different: P(same) = 17/35, P(different) = 18/35

1. (a) All three 5; P and S only 5; S and R only 4; P and R only 3; P only 17; S only 20; R only 14; outside 12
2. (b) \(\frac{7}{40}\) ≈ 0.175
3. (c) \(\frac{9}{26}\) ≈ 0.346

1. (a) All three x; P and W only 5 − x; W and T only 6 − x; P and T only 4 − x; P only 6 + x; W only 5 + x; T only 4 + x
2. (b) \(x+30=32\)
3. (c) \(\frac{1}{16}\) ≈ 0.0625
4. (d) \(\frac{11}{18}\) ≈ 0.611
5. (e) \(\frac{4}{9}\) ≈ 0.444

1. (a) BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
2. (b) \(\frac{1}{7}\)
3. (c) \(\frac{1}{4}\)

0.28