Answer:
P( A U B) = 37/50
Step-by-step explanation:
7/20+3/5+21/100
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Answer: The required value of P(A∪B) is [tex]\dfrac{37}{50}.[/tex]
Step-by-step explanation: For the two event A and B, we have the following probabilities :
[tex]P(A)=\dfrac{7}{20},~~P(B)=\dfrac{3}{5},~~P(A\cap B)=\dfrac{21}{100}.[/tex]
We are to find the following probability :
[tex]P(A\cup B)=?[/tex]
From the laws of probability, we have
[tex]P(A\cup B)\\\\=P(A)+P(B)-P(A\cap B)\\\\=\dfrac{7}{20}+\dfrac{3}{5}-\dfrac{21}{100}\\\\\\=\dfrac{35+60-21}{100}\\\\\\=\dfrac{74}{100}\\\\\\=\dfrac{37}{50}.[/tex]
Thus, the required value of P(A∪B) is [tex]\dfrac{37}{50}.[/tex]
