Please Help
Is this part right for (b)
P[losing] = 0.7
P[playing away] = 0.15
P[losing and playing away] = 0.1
P[losing] P[playing away] =(0.7)(0.15) = 0.105
P[losing and playing away] ≠ P[losing] P[playing away]
Dependent
\(P[\text{winning}]=0.25\\ P[\text{playing at home}]=0.8\\ P[\text{winning AND playing at home}] = 0.2\\ P[\text{winning}]P[\text{playing at home}] = (0.25)(0.8) = 0.2\\P[\text{winning AND playing at home}]= P[\text{winning}]P[\text{playing at home}] \\ \text{so the two events are independent}\)
now that you've been shown the method apply it to (b)
\(P[\text{winning}]=0.25\\ P[\text{playing at home}]=0.8\\ P[\text{winning AND playing at home}] = 0.2\\ P[\text{winning}]P[\text{playing at home}] = (0.25)(0.8) = 0.2\\P[\text{winning AND playing at home}]= P[\text{winning}]P[\text{playing at home}] \\ \text{so the two events are independent}\)
now that you've been shown the method apply it to (b)
Is this right?
P[losing] = 0.7
P[playing away] = 0.15
P[losing and playing away] = 0.1
P[losing] P[playing away] =(0.7)(0.15) = 0.105
P[losing and playing away] ≠ P[losing] P[playing away]
Dependent