Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statistically fair and morally fair.

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.
Using the above definition, we can now analyze each option
Situation 1
Letters = 26
P(Vowel) = 5/26
P(Consonant) = 21/26
Both probabilities are not equal.
Hence, this situation is not fair
Situation 2
Participants = 4
P(Each) = 1/4
All probabilities are equal in the above scenario i.e. 1/4
Hence, this situation is fair
Situation 3
Cousins = 5
P(Each) = 1/5
All probabilities are equal in the above scenario i.e. 1/5
Hence, this situation is fair
Situation 4
Numbers = 5 i.e. 2 to 6
P(Prime) = 3/5
P(Composite) = 4/6
Both probabilities are not equal.
Hence, this situation is not fair
Situation 5
Roommates = 5
Cards = 5
Aces = 4
P(Each) = 1/5
All probabilities are equal in the above scenario i.e. 1/5
Hence, this situation is fair
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