Reviewed by Phoebe Belza-Barrientos
If you flip a coin 3 times, what is the probability of getting 3 heads?
Answer: The probability of getting 3 heads when flipping a coin 3 times is 1/8
When you flip a fair coin multiple times, each flip is independent and has two possible outcomes: heads or tails. To determine the probability of a specific sequence—like getting three heads in a row—you multiply the probabilities of each independent event. This is a common question in introductory probability theory.
Methods
Math Tutor Explanation Using the Multiplication Rule Method
This method involves multiplying the probability of getting heads on each flip since each coin toss is independent.
Step 1: Step 1: The probability of getting heads on a single flip is 1/2
Step 2: Step 2: Multiply the probability for three flips: 1/2 * 1/2 * 1/2
Math Tutor Explanation Using Outcomes Counting Method
This method involves listing out all possible outcomes and counting how many match the event of getting three heads.
Step 1: Step 1: List all outcomes from three flips (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT)
Step 2: Step 2: Identify how many outcomes have all heads (only HHH fits)
Step 1:
Step 2:
Math Tutor suggests: More Probability Practice with Coins and Random Events
Explore additional exercises on probability and powers related to coins, random experiments, and outcomes to strengthen your understanding.
FAQ on Probability of Coin Tosses
Is each coin flip independent?
Yes, each coin flip is independent and does not affect the outcome of other flips.
What does '1/8 probability' mean in this context?
It means that out of every 8 sets of three coin tosses, you can expect to get all heads once, on average.
How many possible outcomes are there for 3 coin flips?
There are 2^3, or 8, possible outcomes when you flip a coin three times.
What if the coin is not fair?
If the coin is not fair, you would need to use the actual probability of heads instead of 1/2 in your calculations.
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