Let E and F are events of a experiment such that P(E) = 3/10 P(F) = ½ and P(F|E) = ⅖. Find the value of (i) P(E ∩ F) (ii) P(E|F) (iii) P(E U F)
Question
Solution 1
Claro, vamos a resolver el problema paso a paso.
Dado:
- ( P(E) = \frac{3}{10} )
- ( P(F) = \frac{1}{2} )
- ( P(F|E) = \frac{2}{5} )
(i) Para encontrar ( P(E \cap F) ):
Sabemos que ( P(F|E) = \frac{P(E \cap F)}{P(E)} ).
Entonces, [ \frac{2}{5} = \frac{P(E \cap F)}{\frac{3}{10}} ]
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