Answer:
Step-by-step explanation:
There are 7 letters in algebra. Two of them are "A"
The probability of choosing "A" on the first try is [tex]\frac{2}{7}[/tex]
Assuming you remove the letter after choosing it:
If you remove the A, then the second time around you have 6 letters with one of them being A
So, your chances of picking A is [tex]\frac{1}{6}[/tex]
Multiply the probabilities together.
[tex]\frac{2}{7} *\frac{1}{6} =\frac{2}{42} =\frac{1}{21}[/tex]
Assuming you don't remove the letter after choosing it:
You have the same probability again, [tex]\frac{2}{7}[/tex]
Square the probability:
[tex](\frac{2}{7})^2 =\frac{4}{49}[/tex]
