A={The selected subject is nurse}
B={The selected subject is male}
AB={The selected subject is nurse and male}
A∪B={The selected subject is nurse or male}
∣Ω∣=13, ∣A∣=8, ∣B∣=3, ∣AB∣=1.
P(A)=∣Ω∣∣A∣=138
P(B)=∣Ω∣∣B∣=133
P(AB)=∣Ω∣∣AB∣=131
By the probability addition theorem P(A∪B)=P(A)+P(B)−P(AB).
P(A∪B)=138+133−131=138+3−1=1310
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