Answer: The answers are
* A: A bird lands on your head.
B: The bird lays an egg.
* A: A green ball is drawn from a box with five balls and placed next to the box.
B: A red ball is drawn next and placed next to the green one.
Step-by-step explanation: The first option is
A: A bird lands on your head.
B: The bird lays an egg.
Since there is no connection between statements A and B, so these are independent events.
The second option is
A: A mosquito lands on your arm.
B: You get a mosquito bite.
Since a mosquito will definitely bite if lands on arm, so these are dependent on each other.
The third option is
A: A Chicagoan visits New York on vacation.
B: He visits Central Park.
Central park is in Chicago, so if a person visits central park, he must visit Chicago. Hence, these are dependent events.
The fourth option is
A: A green ball is drawn from a box with five balls and placed next to the box.
B: A red ball is drawn next and placed next to the green one.
Since these two does not depend on each other, so they are dependent.
Thus, the correct options are
* A: A bird lands on your head.
B: The bird lays an egg.
* A: A green ball is drawn from a box with five balls and placed next to the box.
B: A red ball is drawn next and placed next to the green one.