Use the tree diagram below to predict the probability of flipping 3 coins and getting all heads or all tails.
A. 1
B. $\frac{1}{2}$
C. $\frac{1}{4}$
D. 2
Answer
Final Answer: The probability of flipping 3 coins and getting all heads or all tails is \(\boxed{\frac{1}{4}}\).
Step 1 ：Consider all possible outcomes when flipping 3 coins. There are \(2^3 = 8\) possible outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).
Step 2 ：Identify the outcomes that are either all heads (HHH) or all tails (TTT). There are 2 such outcomes.
Step 3 ：Calculate the probability by dividing the number of desired outcomes by the total number of outcomes. The probability is \(\frac{2}{8} = \frac{1}{4}\).
Step 4 ：Final Answer: The probability of flipping 3 coins and getting all heads or all tails is \(\boxed{\frac{1}{4}}\).
