A) Use the multiplication rule

\(P(all christians)= 62% xx 62% xx 62% xx 62%=0.62^4 approx 0.1478=14.78%\)

B) The sum of all probabilities should be \(100\%\):

P(not a jew) \(= 100\% - 12\% =88\%\)

Use the multiplication rule

\(P(no jews)=88% * 88% * 88% * 88% = 0.88^4 approx 0.5997=59.97%\)

C)Use the addition rule

P(religious) \(= 62\%+12\%+16\%=90\%\)

P(at least one non religious)\(=100\% - P\)(all religious) \(= 100%-90% * 90% * 90% * 90% approx 0.3439 =34.39%\)

Result:

(a) \(14.78\%\)

(b) \(59.97\%\)

(c) \(34.39\%\)