https://file.aiquickdraw.com/mathbot/file/1727119619662ic92f1s2.jpg

The image you've uploaded presents a probability problem. Let's walk through the questions one by one:

1. **Probability of guessing the first question correct:**
   Since there are 4 choices for each multiple-choice question, the probability of guessing correctly is:
   \[
   \text{Probability} = \frac{1}{4} = 0.25 \text{ or } 25\%.
   \]
   This is already correctly provided in the image.

2. **Probability of guessing the first question wrong:**
   If the probability of guessing correctly is 25%, the probability of guessing wrong is:
   \[
   \text{Probability} = 1 - 0.25 = 0.75 \text{ or } 75\%.
   \]
   This is also correctly marked in the image.

3. **Probability of guessing all 3 questions right:**
   Since each question is independent, the probability of guessing all three correctly is the product of the probabilities of guessing each one correctly:
   \[
   \text{Probability} = \left( \frac{1}{4} \right) \times \left( \frac{1}{4} \right) \times \left( \frac{1}{4} \right) = \frac{1}{64} = 0.015625.
   \]
   Converting this to a percentage and rounding to three significant digits:
   \[
   \text{Probability} = 0.015625 \times 100 = 1.56\%.
   \]

Thus, the probability of guessing all three questions correctly is approximately **1.56%**.

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Would you like more details on how I calculated these probabilities, or do you have further questions? Here are 5 related questions you might find interesting:

1. What is the probability of guessing exactly 2 out of 3 questions correctly?
2. What is the probability of guessing none of the questions correctly?
3. How does the probability change if there are 5 answer choices per question?
4. What is the probability of guessing exactly 1 out of 3 questions right?
5. What is the expected number of correct answers if you guess randomly for all 3 questions?

**Tip**: When dealing with independent events, the overall probability is the product of the individual probabilities.

A History Test has 3 multiple choice questions with 4 choices each. What is the probability of guessing all 3 questions right?

Learn how to calculate the probability of guessing all 3 questions correctly in a multiple-choice test with 4 options per question. This involves using the probability of independent events and is suitable for students in Grades 7-9.

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