Question

finding relative frequency
a number cube is rolled 60 times. the results of those 60 trials are recorded in the table. complete the table.

number rolled	1	2	3	4	5	6
relative frequency	1/6	a	1/6	1/6	b	1/6

(boxes for a and b to fill)

Explanation:

Step1: Calculate Total Trials

The total number of trials is \( 60 \) (given: \( 10 + 12 + 10 + 10 + 8 + 10 = 60 \)).

Step2: Find \( A \) (Relative Frequency for 2)

Relative Frequency \( = \frac{\text{Observed Frequency}}{\text{Total Trials}} \).
For number 2: Observed Frequency \( = 12 \).
\( A = \frac{12}{60} = \frac{1}{5} \).

Step3: Find \( B \) (Relative Frequency for 5)

For number 5: Observed Frequency \( = 8 \).
\( B = \frac{8}{60} = \frac{2}{15} \).

Answer:

For \( A \): \(\frac{1}{5}\) (or \( 0.2 \))
For \( B \): \(\frac{2}{15}\) (or approximately \( 0.133 \))