Math Problem Statement

The image contains a set of probability, arithmetic, and fraction-related problems written in Indonesian.

Solution

The image contains a set of probability and arithmetic problems written in Indonesian. I'll extract and translate the key problems for better clarity:

Extracted Questions:

  1. Probability
    A dice is rolled, and the result shows an even number. What is the probability of getting a number greater than 3?
    Result: 310\text{Result: } \frac{3}{10}

  2. Repeated Dice Rolls
    If a dice is rolled twice, what is the probability of getting the same number both times?

  3. Deck of Cards
    A deck of cards is shuffled. What is the probability of drawing a red card?

  4. Calculations
    (3×2)+(2×3)=?(3 \times 2) + (2 \times 3) = ?

  5. Fractions and Decimals
    Convert the fraction 3133\frac{31}{33} into decimal form.

Solutions:

  1. Probability of Getting a Number Greater Than 3
    There are 6 numbers on a dice: 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6. Out of these, only 4 and 6 are greater than 3. So, the probability is 23\frac{2}{3} since 2 out of the 3 even numbers are greater than 3.

  2. Same Number in Two Dice Rolls
    The probability of rolling the same number on two dice rolls is the probability of getting any number on the first roll (which is 1), and the same number on the second roll (which is 16\frac{1}{6}). So, the total probability is 16\frac{1}{6}.

  3. Probability of Drawing a Red Card
    In a standard deck of 52 cards, 26 cards are red (hearts and diamonds). So, the probability of drawing a red card is 2652=12\frac{26}{52} = \frac{1}{2}.

  4. Simple Arithmetic
    (3×2)+(2×3)=6+6=12(3 \times 2) + (2 \times 3) = 6 + 6 = 12.

  5. Converting 3133\frac{31}{33} to Decimal
    31330.939\frac{31}{33} \approx 0.939.


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Related Questions:

  1. How do you calculate the probability of drawing a specific suit from a deck of cards?
  2. What is the general formula for converting fractions to decimals?
  3. Can the same method be used for different types of dice (e.g., 12-sided dice)?
  4. How does the concept of independent events apply to rolling multiple dice?
  5. What is the probability of rolling an odd number and a prime number in two separate dice rolls?

Tip:

Always simplify probabilities by considering the total number of possible outcomes and favorable outcomes.

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Math Problem Analysis

Mathematical Concepts

Probability
Arithmetic
Fractions
Conversions (Fractions to Decimals)

Formulas

Probability = (Number of favorable outcomes) / (Total number of outcomes)
Basic arithmetic operations: addition, multiplication
Fraction to decimal conversion: divide numerator by denominator

Theorems

Probability Theorem
Arithmetic Principles
Fraction to Decimal Conversion

Suitable Grade Level

Grades 6-8