7. If P(A): P(A) = 3:5. then P (A) = ......
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Step-by-step explanation:
P(A) =\dfrac{3}{8}
Step-by-step explanation:
We have,
P(A) : P(B) = 3 : 5
To find, P(A) = ?
Let P(A) = 3x and P(B) = 5x
We know that,
The sum of all probabilities = 1
∴ P(A) + P(B) = 1
⇒ 3x + 5x = 1
⇒ 8x = 1
⇒ x=\dfrac{1}{8}
∴ P(A) =3\times \dfrac{1}{8} =\dfrac{3}{8} and
P(B) =5\times \dfrac{1}{8} =\dfrac{5}{8}
Hence, P(A) =\dfrac{3}{8}
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