Answer:
a) P(3) = 0.2
b) 0.44
c) 112
Step-by-step explanation:
a) each set of branches add up to 1:
P(1) + P(2) + P(3) = 1
0.35 + 0.45 + P(3) = 1
P(3) = 1 - 0.8
P(3) = 0.2
P(red) = (0.35×0.6) + (0.45×0.2) + (0.2×0.7) = 0.44
P(black) = 1 - P(red)
= 1 - 0.44 = 0.56
Expected no. of black balls:
200 × 0.56 = 112
