Sasha is playing a game where she tosses a coin, then rolls a die. She wins if she gets heads on the coin and a 5 on the die. What is the probability she wins?
A) `1/3`,`P(H and 5) = P(H) - P(5) = 1/2-1/6=3/6-1/6=2/6` or `1/3`. That makes sense since tossing a coin and rolling a die are independent events.
B) `2/3`,`P(H and 5) = P(H) + P(5) = 1/2+1/6=3/6+1/6=4/6` or `2/3`.That makes sense since tossing a coin and rolling a die are independent events.
C) `1/12`. That makes sense since tossing a coin and rolling a die are independent events. `P(H and 5) = P(H) × P(5) = 1/2 × 1/6=1/12`
D) `12/12` or `1`. That makes sense, because she should win every time she plays.