Question

A six-sided playing die can be altered to land on one number more often than others. This kind of die, called a loaded die, has been used by cheating gamblers for centuries. The table below displays the results of rolling a specific loaded die 600 times. If the same loaded die is rolled 80 times, based on this data, how many times would it be expected to land on "4"?

Answer 1

To find how many times a loaded die would land on "4" if rolled 80 times, we can use the concept of relative frequency. The expected frequency of landing on "4" in 80 rolls would be 12 times.

Step-by-step explanation:

In this scenario, we have rolled a loaded die 600 times and observed the frequencies of each number. To find how many times the die would be expected to land on "4" if rolled 80 times, we can use the concept of relative frequency.

From the data, we can see that the loaded die landed on "4" 90 times out of 600. Therefore, the relative frequency of landing on "4" is 90/600 = 0.15.

To find the expected frequency, we multiply the relative frequency by the number of rolls. In this case, the expected frequency of landing on "4" in 80 rolls would be 0.15 * 80 = 12 times.