**David's Number Cube Experiment**David tossed a 6-sided number cube 40 times. The table below shows the number of times it landed on each number.| Number on the Cube | Number of Times It Was Face Up ||--------------------|--------------------------------|| 1 | 6 || 2 | 7 || 3 | 9 || 4 | 6 || 5 | 4 || 6 | 8 |**Understanding Experimental Probability**The experimental probability is calculated by dividing the number of times an event occurs by the total number of trials. Here, we calculate the probability of the number cube landing on either the number 3 or the number 4.- Number of times the number cube landed on 3: 9- Number of times the number cube landed on 4: 6- Total number of times the cube was tossed: 40**Calculating the Probability**The number of successful outcomes (landing on 3 or 4) is the sum of the times it landed on 3 and 4:\[ 9 + 6 = 15 \]The experimental probability (P) of landing on either 3 or 4 is:\[ P(3 \text{ or } 4) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{15}{40} = \frac{3}{8} \]**Question:**What is the experimental probability that the number cube will land on either the number 3 or the number 4 on the next roll?- \( \frac{1}{15} \)- \( \frac{3}{4} \)- \( \frac{3}{8} \)- \( \frac{27}{800} \)**Answer:**The correct answer is \( \frac{3}{8} \).**Explanation of Table**The table titled "Number Cube Results" lists the numbers on a 6-sided cube and the corresponding frequency of each face appearing after 40 trials. This data helps in understanding the probability distribution and in deriving the experimental probability for various outcomes.

The cube is tossed 40 times. Nine times cube land on 3 and 6 times it land on 4.

David tossed a 6-sided number cube 40 times. The table shows the number of times it landed on each number. Number Cube Results Number on Number of Times It the Cube Was Face Up 1 2 6 7 3 9. 4 5 4 6 8 What is the experimental probability that the number cube will land on either the number 3 or the number 4 on the next roll? 15 27 800

David tossed a 6-sided number cube 40 times. The table shows the number of times it landed on each number. Number Cube Results Number on Number of Times It the Cube Was Face Up 1 2 6 7 3 9. 4 5 4 6 8 What is the experimental probability that the number cube will land on either the number 3 or the number 4 on the next roll? 15 27 800

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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