Question
Question
When a coin is tossed three times, what is the probability that all three tosses are heads?
The possible outcomes for the coin tosses are
- Express your answer as a simplified fraction.
When a coin is tossed three times, what is the probability that all three tosses are heads?
The possible outcomes for the coin tosses are
Ask by Elliott Patel. in the United States
Nov 21,2024
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Tutor-Verified Answer
Answer
The probability of all three tosses being heads is
.
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Bonus Knowledge
When you toss a coin three times, there are a total of 2^3 = 8 possible outcomes, as each toss has 2 possible results (Heads or Tails). Out of these outcomes, only 1 is the event where all three tosses yield Heads, which is represented by
. Therefore, the probability of getting three heads is calculated as the number of favorable outcomes divided by the total number of outcomes:
So, the probability that all three tosses are heads is
.
Now that you’re aware of the basic probability, let’s spice it up! In many games and probability lessons, tossing a coin can lead to exciting outcomes! Imagine playing a game with friends where everyone’s betting on different combinations, and every toss becomes a mini-event!
Looking deeper into the world of probabilities, did you know that understanding these concepts can help in various fields, from finance to gaming? Analysts often use probability to forecast trends, helping them make informed decisions, whether in stock trading or predicting the outcome of sports events! How cool is that?