https://file.aiquickdraw.com/mathbot/file/1728382516750nhsnww4m.jpg

Let's analyze the questions from the image:

### Question 1:
The table shows the possible results of two coin flips. The first coin has outcomes "ص" (picture) or "كتابة" (writing), and the second coin has similar outcomes. The table summarizes the results, and the question asks for the probability that both results are "صورة" (both coins show "picture"). 

- Possible outcomes from the table are: 
  1. (ص, صورة)  
  2. (ص, كتابة)  
  3. (كتابة, صورة)  
  4. (كتابة, كتابة)

- To find the probability of getting "صورة" on both flips, count the favorable outcomes (which is 1: both flips show "صورة") and divide by the total possible outcomes (4). 

So, the probability is:
\[
\frac{1}{4}
\]

Correct answer: A.

---

### Question 2:
Mahmoud wants to find three-fifths (3/5) of the number 20. The question asks which method cannot be used to calculate this.

- A. Multiply \(20 \times 0.6\) → This is correct because \(3/5 = 0.6\).
- B. Multiply \(20 \times 60\) → Incorrect because multiplying by 60 gives a much larger number.
- C. Divide 20 by 5 and then multiply by 3 → This is correct because finding three-fifths of a number involves dividing by 5 and multiplying by 3.
- D. Divide 20 by 5 and then divide by 10 → This is incorrect, as dividing by 10 does not yield the correct result.

Correct answer: B.

---

### Question 3:
The question asks which shampoo bottle size provides the cheapest cost per liter. The available options and their prices are:
- 75 mL for 1.20 AED,
- 400 mL for 3.00 AED,
- 500 mL for 4.50 AED,
- 1 liter for 10 AED.

To find the cost per liter:
1. For the 75 mL bottle: 
   \[
   \frac{1.20 \text{ AED}}{75 \text{ mL}} = 0.016 \text{ AED per mL}, \text{ so for 1 liter (1000 mL)}: 0.016 \times 1000 = 16 \text{ AED}.
   \]
2. For the 400 mL bottle: 
   \[
   \frac{3.00 \text{ AED}}{400 \text{ mL}} = 0.0075 \text{ AED per mL}, \text{ so for 1 liter}: 0.0075 \times 1000 = 7.5 \text{ AED}.
   \]
3. For the 500 mL bottle: 
   \[
   \frac{4.50 \text{ AED}}{500 \text{ mL}} = 0.009 \text{ AED per mL}, \text{ so for 1 liter}: 0.009 \times 1000 = 9 \text{ AED}.
   \]
4. The 1-liter bottle costs 10 AED.

The cheapest cost per liter is the 400 mL bottle at 7.5 AED per liter.

Correct answer: B.

---

Would you like more details or further clarification on any of the solutions? 

Here are five related questions:
1. How do you calculate probabilities for more than two events?
2. What is the general formula to find a fraction of any number?
3. How do you convert between different units of volume?
4. How can you compare costs effectively across different packaging sizes?
5. What is the importance of calculating unit price when shopping?

**Tip:** Always simplify ratios or fractions when comparing different options—this makes it easier to spot the best deal.

What is the probability that both coin flips result in a picture ('صورة')? What method cannot be used to calculate three-fifths of 20? Which bottle size provides the cheapest shampoo price per liter?

This problem set includes calculating the probability of two coin flips, determining which method cannot be used to calculate a fraction of a number, and comparing shampoo prices to find the cheapest cost per liter. Suitable for students in Grades 6-8.

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