Question

You toss 3 fair coins in the air at once.

a) List the sample space.
b) What is the probability of getting all 3 heads?
c) What is the probability of getting all 3 tails?
d) What is the probability of getting 1 head and 2 tails?
e) What is the probability of getting 1 tail and 2 heads?
f) What do the probabilities from parts b through e add up to?

Answer 1

a) sample space --> all possible outcome. An outcome is Heads or Tails for each coin, so \[\Omega = {TTT, TTH, ... etc} \]

Answer 2

\[b) P(\text{ all three heads }) = P(TTT)/P(\Omega)\]

Answer 3

@Redcan Can you finish helping me please?