question 7\nthe bar graph shows the results of 200 experiments. each experiment involved one person rolling…

question 7\nthe bar graph shows the results of 200 experiments. each experiment involved one person rolling two fair number cubes and recording the sum of the values shown. what is the experimental probability of a person rolling a sum less than 7? express the answer as a decimal to the nearest thousandth.\nresults of number cubes\nsum of values on number cubes
Answer
Explanation:
Step1: Identify favorable outcomes
We need sum less than 7. Sum values are 2, 3, 4, 5, 6. Add their frequencies: $5 + 9+15 + 21+25=75$.
Step2: Calculate experimental probability
Experimental probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of experiments is 200. So $P=\frac{75}{200}=0.375$.
Answer:
$0.375$