please solve this math problem
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Step-by-step explanation:
Concept:
Addition theorem of probabaility:
P(A∪B) = P(A)+P(B)-P(A∩B)
Given:
2 P(A) = P(B) = (5/13)
P(A) = (5/26)
P(B) = (5/13)
Now,
P(A|B)= (2/5)
P(A∩B)/P(B)= (2/5)
P(A∩B)= (2/5).(5/13)
P(A∩B)= (2/13)
P(A∪B) = P(A)+P(B) - P(A∩B)
P(A∪B) = (5/26) + (5/13) - (2/13)
P(A∪B) = (5+10-4)/26
P(A∪B) = 11/26
- Hope it's help you..
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