Math Problem Statement
Solution
Let's break down the questions shown in the image:
Question 1:
It involves two coins, each with two possible outcomes: "صورة" (Heads) and "كتابة" (Tails). The table provides the results of flipping both coins.
The question asks for the probability of getting "صورة" (Heads) on both flips. There are 4 possible outcomes (two for each coin):
- صورة - صورة
- صورة - كتابة
- كتابة - صورة
- كتابة - كتابة
Only one of these outcomes is "صورة - صورة". Therefore, the probability is .
Answer: A
Question 2:
The task is to find three-fifths of 20 using equivalent fractions. The calculation should be performed. We can either:
- Multiply , and then divide by 5, giving .
So the answer is 12, which corresponds to option C.
Answer: C
Question 3:
The question asks which bottle offers the cheapest shampoo per liter. To solve this, we need to find the price per liter for each bottle:
- 75 ml costs AED 1.20 → = 16 AED/liter
- 400 ml costs AED 3.00 → = 7.5 AED/liter
- 500 ml costs AED 4.50 → = 9 AED/liter
- 1 liter costs AED 10.00 → 10 AED/liter
Thus, the 400 ml bottle provides the lowest cost per liter (7.5 AED/liter). Answer: B
Would you like further details or clarification on any part? Here are five related questions to explore:
- What is the probability of flipping two tails in a two-coin toss?
- How can you apply probability theory to larger sets of possible outcomes?
- What are the steps to solve equivalent fractions in different scenarios?
- How do unit rates help in comparing prices in real-life scenarios?
- What is the significance of simplifying fractions when dealing with word problems?
Tip: When calculating probabilities, ensure that all possible outcomes are considered equally likely, unless otherwise stated.
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Math Problem Analysis
Mathematical Concepts
Probability
Fractions
Unit Rates
Formulas
Probability formula: P(Event) = Number of favorable outcomes / Total number of outcomes
Fraction multiplication: a/b * c = (a * c)/b
Unit rate: Price per liter = Price / Volume
Theorems
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Suitable Grade Level
Grade 5-6
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