Answer :
To determine the experimental probability of the die landing on an odd number, we can use the following steps:
1. Identify the total number of times the die was rolled.
- According to the problem, the die was rolled a total of 20 times.
2. Identify the number of times the die landed on an odd number.
- The problem states that the die landed on an odd number 6 times.
3. Calculate the experimental probability of landing on an odd number.
- The experimental probability is determined by dividing the number of times the event occurs by the total number of trials (rolls).
Putting it together, the formula for the experimental probability (P) of an event is given by:
[tex]\[ P(\text{odd number}) = \frac{\text{number of odd results}}{\text{total number of rolls}} \][/tex]
Substituting the given values:
[tex]\[ P(\text{odd number}) = \frac{6}{20} \][/tex]
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[ P(\text{odd number}) = \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \][/tex]
Therefore, the experimental probability of the die landing on an odd number is [tex]\(\frac{3}{10}\)[/tex].
This fraction corresponds to the decimal value 0.3, which is the correct experimental probability. So, the correct answer from the given choices is:
[tex]\(\frac{3}{10}\)[/tex].
1. Identify the total number of times the die was rolled.
- According to the problem, the die was rolled a total of 20 times.
2. Identify the number of times the die landed on an odd number.
- The problem states that the die landed on an odd number 6 times.
3. Calculate the experimental probability of landing on an odd number.
- The experimental probability is determined by dividing the number of times the event occurs by the total number of trials (rolls).
Putting it together, the formula for the experimental probability (P) of an event is given by:
[tex]\[ P(\text{odd number}) = \frac{\text{number of odd results}}{\text{total number of rolls}} \][/tex]
Substituting the given values:
[tex]\[ P(\text{odd number}) = \frac{6}{20} \][/tex]
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[ P(\text{odd number}) = \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \][/tex]
Therefore, the experimental probability of the die landing on an odd number is [tex]\(\frac{3}{10}\)[/tex].
This fraction corresponds to the decimal value 0.3, which is the correct experimental probability. So, the correct answer from the given choices is:
[tex]\(\frac{3}{10}\)[/tex].
