Respuesta :
Answer:
1/3 is the answer.
Step-by-step explanation:
Tanya prepared 4 different letters to be sent to 4 different addresses.
To solve this we can do the following:
The probability that the 1st letter is in the right envelope is = [tex]\frac{1}{4}[/tex]
The probability that the 2nd letter is in the wrong envelope is = [tex]\frac{2}{3}[/tex]
The probability that the 3rd letter is in the wrong envelope is = [tex]\frac{1}{2}[/tex]
The probability that the 4th letter is in the wrong envelope is = 1
So, the answer becomes: [tex]\frac{1}{4}\times \frac{2}{3}\times \frac{1}{2}\times1[/tex] = [tex]\frac{1}{12}[/tex]
As we need 4 correct letters in the envelope, we will multiply by 4:
[tex]\frac{1}{12}\times4=\frac{1}{3}[/tex]
