The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5
For a situation to be fair, the probability of every outcome must be equal.
We can now analyze each option using the above highlight
Situation 1
The probabilities of vowels and consonant are not equal.
Hence, this situation is not fair
Situation 2
People = 4
P(Each) = 1/4
The probability of each participant is equal in the above scenario i.e. 1/4
Hence, this situation is fair
Situation 3
The probability of each cousin is equal in the above scenario i.e. 1/5
Hence, this situation is fair
Situation 4
The probabilities of prime and composite numbers are not equal.
Hence, this situation is not fair
Situation 5
All probabilities are equal in the above scenario i.e. 1/5
Hence, this situation is fair
Read more about probability at:
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