In each trial of an experiment, a card and a marble are randomly chosen. The number on the card and the number on the marble are recorded to find their sum. After each trial, the card is returned to the deck and the marble is returned to the bag.
Press "Run" to simulate trials based on the graphs you made. Then answer the questions below.
Card 1 2 3 4 1 2 3 4
Marble 1 1 1 1 2 2 2 2
# of trials 73 116 72 97 117 181 141 203
Total number of trials - 1000
In the simulation, which sum was more common, 3 or 5 ? What percentage of the time did that sum occur? Do not round your answer. (In this simulation, a correct answer will not have more than one decimal place.) Important: If you run the simulation again, then you may need to adjust your answers.
A. A sum of 3 was more common. In this simulation, it occurred in __ % of the trials
B. A sum of 5 was more common. In this simulation, it occurred in __ % of the trials
To determine which sum was more common and the percentage of times it occurred in the simulation, we will need to analyze the data provided.
From the given data, we have the following counts for each sum:
Sum 3: 72 trials
Sum 5: 117 trials
To calculate the percentage, we will use the following formula:
Percentage = (Count of a particular sum / Total number of trials) * 100
For sum 3:
Percentage of sum 3 = (72 / 1000) * 100 = 7.2%
For sum 5:
Percentage of sum 5 = (117 / 1000) * 100 = 11.7%
Therefore, the correct answer is:
B. A sum of 5 was more common. In this simulation, it occurred in 11.7% of the trials.