Compute the odds in favor of obtaining exactly two tails when a coin is tossed 3 times and
successive outcomes are recorded.

To compute the odds in favor of obtaining exactly two tails when a coin is tossed three times, we can follow these steps:

### Step 1: List all possible outcomes
When a coin is tossed 3 times, each toss has two possible outcomes: heads (H) or tails (T). The total number of possible outcomes is:

\[
2^3 = 8
\]

These outcomes are:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT

### Step 2: Count the favorable outcomes
We are interested in the outcomes where there are exactly two tails. These are:
- HTT
- THT
- TTH

There are **3 favorable outcomes**.

### Step 3: Count the unfavorable outcomes
The remaining outcomes that do not have exactly two tails are:
- HHH
- HHT
- HTH
- TTT

There are **4 unfavorable outcomes**.

### Step 4: Compute the odds in favor
The odds in favor of an event are given by the ratio of favorable outcomes to unfavorable outcomes:

\[
\text{Odds in favor} = \frac{\text{Number of favorable outcomes}}{\text{Number of unfavorable outcomes}} = \frac{3}{4}
\]

So, the odds in favor of obtaining exactly two tails are **3:4**.

Would you like more details or have any questions?

Here are five related questions you might find interesting:
1. What are the odds against obtaining exactly two tails when a coin is tossed 3 times?
2. How many tails can you expect on average when tossing a coin 3 times?
3. What is the probability of getting at least one tail when a coin is tossed 3 times?
4. How does the probability of getting two tails change if the coin is biased towards heads?
5. What is the probability of getting exactly one head when tossing a coin 3 times?

**Tip:** When calculating odds, always remember they compare favorable outcomes to unfavorable outcomes, whereas probabilities compare favorable outcomes to the total number of possible outcomes.

Compute the odds in favor of obtaining exactly two tails when a coin is tossed 3 times and successive outcomes are recorded.

Learn how to compute the odds in favor of getting exactly two tails when tossing a coin 3 times. This problem covers key concepts in probability and combinatorics, including calculating total outcomes, counting favorable events, and determining odds. Suitable for students in Grades 6-8.

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