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A pound has 60 German Shepherds and 40 Great Danes of both sexes. If they breed with each other randomly, what is the probability that the puppies are: (i) pure breed German Shepherds, (ii) pure breed Great Danes, (iii) German Shepherd-Great Danes

User Louis XIV
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Answer:

(i) pure breed German Shepherds,= 0.6

(ii) pure breed Great Danes,= 0.4

(iii) German Shepherd-Great Danes= 0.24

Explanation:

The probability of success for the German shepherd is 60/100 0r 6/10 0r 0.6

The probability of failure for the German shepherd is 40/100 0r 4/10 0r 0.4

The probability of success for the Great Danes is 40/100 0r 4/10 0r 0.4

The probability of failure for the Great Danes is 60/100 0r 6/10 0r 0.6

The probability that it is a pure German shepherd is 60/100 0r 6/10 0r 0.6

The probability that it is a pure the Great Danes is 40/100 0r 4/10 0r 0.4

The probability that the puppies are: German Shepherd-Great Danes is given by since the events are independent

P (GS ∩ GD) = 0.6* 0.4= 0.24

User TroySteven
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