Question

You toss 3 coins in the air. Find the probability that

a. All three are Heads
b. There is at least one Tails
c. Exactly one is Tails.

Answer 1

When tossing 3 coins, the probability of all three being heads is 1/8 or 12.5%, while the probability is 7/8 or 87.5% for getting at least one tails and 3/8 or 37.5% for getting exactly one tails.

Step-by-step explanation:

Probability of Coin Toss Outcomes

When you toss 3 coins, there are a total of 23 = 8 possible outcomes (since each coin has 2 possible outcomes, head (H) or tail (T)). These outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

a. Probability of all three coins being Heads: There is only one outcome with all heads (HHH), so the probability is 1/8 or 12.5%.

b. Probability of at least one Tails: There are 7 outcomes with at least one tail, which are all except for HHH. So the probability is 7/8 or 87.5%.

c. Probability of exactly one Tails: There are exactly 3 outcomes with one tails (THH, HTH, HHT), so the probability is 3/8 or 37.5%.