Math Problem Statement
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:
-
Probability
A dice is rolled, and the result shows an even number. What is the probability of getting a number greater than 3?
-
Repeated Dice Rolls
If a dice is rolled twice, what is the probability of getting the same number both times? -
Deck of Cards
A deck of cards is shuffled. What is the probability of drawing a red card? -
Calculations
-
Fractions and Decimals
Convert the fraction into decimal form.
Solutions:
-
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 since 2 out of the 3 even numbers are greater than 3. -
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 ). So, the total probability is . -
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 . -
Simple Arithmetic
. -
Converting to Decimal
.
Would you like me to go into more detail for any specific problem or continue solving other questions from the image?
Related Questions:
- How do you calculate the probability of drawing a specific suit from a deck of cards?
- What is the general formula for converting fractions to decimals?
- Can the same method be used for different types of dice (e.g., 12-sided dice)?
- How does the concept of independent events apply to rolling multiple dice?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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
Related Recommendation
Probability of Getting a Head and a Number Greater Than 5
Probability Problems: Dice, Balls, Coins, and Marbles
Mathematical Problems Involving Fractions and Decimals
Statistics and Probability Questions: Mean, Mode, Spinners, and Card Probabilities
Comprehensive Guide to Solving Statistics and Probability Problems