Answer:
0.28
Step-by-step explanation:
For a certain breed of dog,
OFFSPRING OF A BLACK DOG:
Is black = 0.6 Is brown = 0.4
OFFSPRING OF A BROWN DOG:
Is black = 0.2 Is brown = 0.8
If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?
The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.
The probability that his black pups produce black pups:
0.2 × 0.6 = 0.12
The probability that his brown pups produce black pups:
0.8 × 0.2 = 0.16
The probability that his grand pup will be black = 0.12 + 0.16 = 0.28
