Answered

A cube numbered from 1 through 6 is rolled 400 times. The probability of 3 landing face-up on the cube is



. Select TWO values that indicate an approximate relative frequency of 3 landing face-up in 400 attempts

Verified Answer :

To determine the approximate relative frequency of landing face-up on the cube, we can calculate the probability using the formula:

\[ \text{Probability} = \frac{\text{Number of times 3 is rolled}}{\text{Total number of rolls}} \]

Given that the cube is rolled 400 times:

\[ \text{Probability} = \frac{\text{Number of times 3 is rolled}}{400} \]

To find the probability of rolling a 3, we need to know how many times the number 3 appears on the cube. Since each face of the cube is numbered from 1 through 6, and the number 3 appears only once, the probability of rolling a 3 is:

\[ \text{Probability of rolling a 3} = \frac{1}{6} \]

Now, to find the approximate relative frequency, we multiply the probability of rolling a 3 by the total number of rolls:

\[ \text{Approximate relative frequency of rolling a 3} = \left( \frac{1}{6} \right) \times 400 \]

\[ \text{Approximate relative frequency of rolling a 3} = \frac{400}{6} \]

\[ \text{Approximate relative frequency of rolling a 3} \approx 66.67 \]

Therefore, two values that indicate an approximate relative frequency of rolling a 3 in 400 attempts are:

- 66.67 (rounded to the nearest hundredth)

- 67 (rounded to the nearest whole number)

Related Questions