a disc jockey at a school dance had equal numbers of rock, country, and pop songs that she randomly selects from. she designs a simulation to estimate the probability that the next three songs she plays are all country songs. which simulation design could she use to estimate the probability?

The disc jockey can simply run a what is called a random experiment. In this experiment, she takes all the songs, and defines the probability of a particular song being played.

Explanation:

More specifically, in her random experiment, the DJ has a specific number of songs in total. Let's assume that she has 9 songs in total: 3 rock songs, 3 country songs, and 3 pop songs. We can assume this because the question says that she has an equal number of songs per genre.

The probability of the first song being a country song is therefore 1/9, because the country song is 1 among 9 songs in total.

The probability of the second song also being a country song is 1/8, because now, there are only 8 songs remaining,

Finally, the probability of the third song also being a country song is 1/7, again, because now, there are only 7 songs remaining.

Now, to find the probability of the first three songs all being country song, we multiply the above probabilities.

1/9 * 1/8 * 1/7 = 1/504 or 0.19%.

As we can see, the probability is extremely low.