Problem

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

Solution

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 \(\boxed{\frac{1}{4}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/y1o5YKmxx1/

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