Probability review Problem set B Answers

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

1. (a) 0.169
2. (b) 0.000216

1. (a) \(\frac{9}{13}\) ≈ 0.692
2. (b) \(\frac{45}{91}\) ≈ 0.495
3. (c) Same: P(same) = 51/91, P(different) = 40/91

1. (a) All three 4; M and Z only 8; Z and P only 6; M and P only 5; M only 19; Z only 22; P only 15; outside 11
2. (b) \(\frac{1}{6}\) ≈ 0.167
3. (c) \(\frac{1}{3}\) ≈ 0.333

1. (a) All three x; A and M only 5 − x; M and D only 8 − x; A and D only 7 − x; A only 4 + x; M only 6 + x; D only 2 + x
2. (b) \(x+32=35\)
3. (c) \(\frac{3}{35}\) ≈ 0.0857
4. (d) \(\frac{1}{2}\) ≈ 0.500
5. (e) \(\frac{5}{11}\) ≈ 0.455

1. (a) HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
2. (b) \(\frac{1}{7}\)
3. (c) \(\frac{1}{4}\)

0.3625