I am struggling to answer these multiple choice questions from my stats class.

1.) Consider drawing a person at random from the residents of Berkeley and then giving them a test for COVID-19.

Let A denote the event that the person selected is infected with the virus, and let B denote the event that they get a negative test.

Are these events independent? Mutually exclusive?

a)they're dependent but not mutually exclusive

b)they're both dependent and mutually exclusive

c)they're independent but not mutually exclusive

d)they're independent and mutually exclusive

2.) I draw two cards without replacement from a well shuffled deck.

The chance that the first card is an ace or the second card is the ace is...

a)1/52 + 1/52

b)1/52 x 1/52

c)neither of these

3.) Suppose we randomly sample a single person from among 16 people: 8 men and 8 women. One of the women and two of the men are left-handed; the rest are right-handed.

Are the events "sampling a woman" and "sampling a left-handed person" mutually exclusive?

a)no

b)yes

4.) Suppose we randomly sample a single person from among 16 people: 8 men and 8 women. One of the women and two of the men are left-handed; the rest are right-handed.

Are the events "sampling a woman" and "sampling a left-handed person" independent?

a)no

b)yes

Thankyou for all your help.