Question

greg tossed a number cube and recorded the results. the table shows the number of times he rolled each number. based on the table, what is the experimental probability of rolling a 4 on the next toss? gregs number cube tosses number frequency 1 7 2 5 3 6 4 4 5 8 6 6

Explanation:

Step1: Calculate total number of tosses

Sum up all frequencies: \(7 + 5+6 + 4+8 + 6=\sum_{i = 1}^{6}f_i=36\)

Step2: Use experimental probability formula

Experimental probability \(P=\frac{\text{Frequency of 4}}{\text{Total number of tosses}}\). Frequency of 4 is \(4\), so \(P=\frac{4}{36}=\frac{1}{9}\)

Answer:

\(\frac{1}{9}\)