SAP and 4P's are both subsidies for the poor in my country, for your reference only. In a certain community, 28% are SAP (Social Amelioration Program) beneficiaries, 12% are members of 4P’s (Pantawid Pamilyang Pilipino Program), and somehow 2% are beneficiaries of both SAP and 4P’s. a. If a citizen from the community is a SAP beneficiary, what is the probability that he also is a beneficiary of 4P’s? b. If a person from that community is not a 4P’s beneficiary, what is the probability that he also is not a SAP beneficiary?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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SAP and 4P's are both subsidies for the poor in my country, for your reference only.

In a certain community, 28% are SAP (Social Amelioration Program) beneficiaries, 12% are members of 4P’s (Pantawid Pamilyang Pilipino Program), and somehow 2% are beneficiaries of both SAP and 4P’s.

a. If a citizen from the community is a SAP beneficiary, what is the probability that he also is a beneficiary of 4P’s?
b. If a person from that community is not a 4P’s beneficiary, what is the probability that he also is not a SAP beneficiary?

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