if you flip three fair coins, what is the probability that youll get all three heads?
if you flip three fair coins, what is the probability that youll get all three heads?
Answer
Explanation:
Step1: Find total number of outcomes
Each coin has 2 possible outcomes (heads or tails). For 3 coins, by the multiplication principle, the total number of outcomes is $2\times2\times2 = 2^3=8$.
Step2: Find number of favorable outcomes
The favorable outcome is getting all three heads, which is only 1 case.
Step3: Calculate probability
The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{1}{8}$.
Answer:
$\frac{1}{8}$