https://file.aiquickdraw.com/mathbot/file/1728879600863wt1orz62.jpg

The problem in the image is in Indonesian, and it involves probability.

It asks:
1. A coin is tossed 3 times. Determine the probability of:
   - Getting heads ("gambar") exactly 2 times.

### Solution

When tossing a coin 3 times, each toss has two possible outcomes: heads (H) or tails (T). The total number of possible outcomes for 3 tosses is:

\[
2^3 = 8
\]

These are the possible sequences:
- HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Now, we want the probability of getting heads ("gambar") exactly twice. The sequences that meet this condition are:
- HHT, HTH, THH.

There are 3 favorable outcomes. The probability of getting exactly two heads is:

\[
P(\text{2 heads}) = \frac{3}{8}
\]

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions to expand on this:
1. How would the probability change if the coin is tossed 4 times?
2. What is the probability of getting at least one head in 3 tosses?
3. How many total outcomes would there be if the coin is tossed 5 times?
4. What is the probability of getting exactly 1 head in 3 tosses?
5. How does the probability of getting all tails compare to getting all heads?

**Tip:** When calculating probabilities for coin tosses, using combinations can simplify finding how many outcomes meet specific conditions.

Sebuah koin dilempar 3 kali. Tentukan peluang munculnya tepat dua kali sisi gambar!

Learn how to calculate the probability of getting exactly two heads when a coin is tossed three times. This problem covers key probability concepts, including counting favorable outcomes and total possible outcomes. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation