Spencer is using a cube numbered
1 to 6
to conduct probability experiments. In the first experiment, he rolls the number cube
250 times. The number 1 is rolled 47 times.
Which value is the closest estimate of the experimental probability of rolling a 1?
Responses
A. 0.021
B 0.167
C 0.188
D 0.531
C. 0.188
how did you get your answer? please explain it so I understand.
To calculate experimental probability, you divide the number of successful outcomes (rolling a 1) by the total number of trials. In this case, Spencer rolled the cube 250 times and rolled a 1 47 times.
So, experimental probability of rolling a 1 = Number of times 1 was rolled / Total number of rolls
Experimental probability = 47/250 = 0.188
Therefore, the closest estimate of the experimental probability of rolling a 1 is 0.188, which is option C.
In the second experiment, Spencer rolls the number cube 350
times.
Select the TWO values that represent an approximate frequency of rolling a
2 in 350
attempts.
To calculate the approximate frequency of rolling a 2 in 350 attempts, you can use the experimental probability formula:
Experimental frequency = Experimental probability × Total number of attempts
Given that the experimental probability of rolling a 2 on a fair six-sided cube is 1/6, you can calculate the frequency of rolling a 2 in 350 attempts:
Experimental frequency of rolling a 2 = (1/6) × 350 = 58.33
Since the frequency must be a whole number since you are counting the number of occurrences, you can round this value to the nearest whole number.
The closest whole values would be 58 and 59.
Therefore, the TWO values that represent an approximate frequency of rolling a 2 in 350 attempts are:
58 and 59.