Questions: Find the probability that there are three T when a fair coin is flipped three times. (Round the answer to 4 decimal points.)

Transcript text: Question 2 1 pt 1 Find the probability that there are three T when a fair coin is flipped three times. $\square$ (Round the answer to 4 decimal points.) Question Help: Message instructor

Solution

Solution Steps

Step 1: Determine the Total Number of Outcomes

When a fair coin is flipped three times, each flip has 2 possible outcomes (Heads or Tails). Therefore, the total number of possible outcomes is: \[ 2^3 = 8 \]

Step 2: Identify the Favorable Outcomes

We need to find the probability of getting three Tails (T, T, T). There is only one favorable outcome: (T, T, T).

Step 3: Calculate the Probability

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Therefore, the probability of getting three Tails is: \[ \frac{1}{8} = 0.1250 \]