“40 million Nigerians have one form of mental disorder or the other

“40 million Nigerians have one form of mental disorder or the other.” ~ FG.
By implication, 1 in every 5 Nigerians is insane.
From the above statement,
1. What is the probability of having 1, 2, 3 or more mad person(s) in the cabinet of PMB given the total number of cabinet members as 50 people?
2. If 15m out of 180m Nigerians voted APC/PMB in 2015, prove that NONE of the 15m Nigerians that voted is mad.
3a. Given the total nuclear family members of PMB as 10 (2 parents & 8 children), how many mad person(s) can be found in the family?
3b. What is the probability that all parents are mad?
3c. What is the probability that 2 children are mad?
3d. What is the probability that 1 parent and 1 child are mad?
NB: prove your answers with examples/references).
10k cash prize for winner.


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