If you flip three fair coins, what is the probability that you'll get two tails and one head in any order?
3(1/2 * 1/2 * 1/2) = 3/8
To calculate the probability of getting two tails and one head when flipping three fair coins in any order, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
When flipping three fair coins, each coin can have two possible outcomes - either a head (H) or a tail (T). So, each coin has 2 possible outcomes, and since there are three coins, the total number of possible outcomes is 2^3 = 8.
Favorable outcomes:
Now, we need to determine the number of favorable outcomes, i.e., the number of ways we can get two tails and one head in any order.
There are three possible outcomes where we get two tails and one head:
1. HHT
2. HTH
3. THH
So, the number of favorable outcomes is 3.
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
= 3 / 8
= 0.375
= 37.5% (in percentage form) or 3/8 (in fraction form).
Therefore, the probability of getting two tails and one head in any order when flipping three fair coins is 37.5% or 3/8.
To find the probability of getting two tails and one head when flipping three fair coins, we need to calculate the number of favorable outcomes (in this case, the number of ways to get two tails and one head) and divide it by the total number of possible outcomes.
Let's break it down step by step:
Step 1: Determine the total number of possible outcomes.
When flipping a fair coin, there are two possible outcomes: heads or tails. Since you are flipping three coins, the total number of possible outcomes is 2 * 2 * 2 = 8.
Step 2: Determine the number of favorable outcomes.
To get two tails and one head, we can have any of the following outcomes:
- TTH
- THT
- HTT
So, there are 3 favorable outcomes.
Step 3: Calculate the probability.
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 8
Hence, the probability of getting two tails and one head in any order when flipping three fair coins is 3/8 or 0.375 or 37.5%.