What is the probability of getting exactly 1 head when flipping a coin 3 times?

To determine the probability of getting exactly 1 head when flipping a coin 3 times, we need to consider the total possible outcomes and the successful outcomes for our case.

When flipping a coin, each flip has two possible outcomes: heads (H) or tails (T). Thus, when flipping the coin 3 times, the total number of possible outcomes is:

  • Number of Outcomes = 23 = 8

The possible outcomes when flipping a coin 3 times are:

  • HHH
  • HHT
  • HTH
  • THH
  • HTT
  • THT
  • TTT
  • TTH

Next, we need to find out how many of these outcomes result in exactly 1 head:

  • HTT
  • THT
  • TTT
  • TTH

From the outcomes listed, we can see that there are 3 combinations where we get exactly 1 head (HTT, THT, TTH). This gives us:

  • Successful Outcomes = 3

Now we can calculate the probability using the formula:

Probability = (Number of Successful Outcomes) / (Total Possible Outcomes)

Substituting the values we found:

Probability = 3 / 8

Thus, the probability of getting exactly 1 head when flipping a coin 3 times is:

3/8 or 0.375

In conclusion, every time you flip a coin 3 times, you have a 37.5% chance of getting exactly 1 head!

Leave a Comment