Answer:
4,700 times
Step-by-step explanation:
To predict how many times an odd number will be rolled in 10,000 trials based on the given frequencies, we first need to find the probability of rolling an odd number in one trial.
The sum of the frequencies of odd numbers (1, 3, and 5) is:
[tex]15 + 17 + 15 = 47[/tex]
Out of the total number of trials (100), the probability of rolling an odd number in one trial is:
[tex]\rm P(\text{odd number}) = \dfrac{\text{frequency of odd numbers}}{\text{total number of trials}} \\\\\\P(\text{odd number})= \dfrac{47}{100}[/tex]
Now, to predict how many times an odd number will be rolled in 10,000 trials, we multiply the probability of rolling an odd number in one trial by the total number of trials:
[tex]\rm \text{Predicted frequency of odd numbers} = P(\text{odd number}) \times \text{Total number of trials} \\\\\\\text{Predicted frequency of odd numbers} = \dfrac{47}{100} \times 10000 \\\\\\\text{Predicted frequency of odd numbers} = 4700[/tex]
So, based on the given frequencies, we can predict that an odd number will be rolled approximately 4,700 times in 10,000 trials.
