[Math] Flip a coin 3 times. What is the probability that number of tails is odd

Question

We flip a fair coin (independently) three times. Define the following events:

A = "the number of tails is odd"

B = "the number of heads is even"

What is the probability of event A and event B?

Answer 1

HINT: $A=\{HHT,HTH,THH,TTT\}$ and $B=\{HHT,HTH,THH,TTT\}$