Respuesta :

Given: The odds in favor of receiving a gift are 4/19.

Required: To determine the probability of receiving a gift.

Explanation: The probability of an event A that has an odd of happening as A/B can be calculated as

[tex]P(A)=\frac{A}{A+B}[/tex]

Here A=4 and B=19. Putting the values, we get,

[tex]\begin{gathered} P(A)=\frac{4}{4+19} \\ =\frac{4}{23} \\ \end{gathered}[/tex]

Final Answer: The probability of Brian receiving a gift is 4/23.