Question

A disc jockey at a school dance has equal numbers of rock, country, and popsongs that she randomly selects from. She designs a simulation to estimatethe probability that the next three songs she plays are all country songs.Which simulation design could she use to estimate the probability?A. CoinLet heads (H) = countryLet tails (T) = rock or popToss coin three times. Repeat.B. Random digitsmund

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given songs

`\begin{gathered} rock \\ country \\ pop \end{gathered}`

STEP 2: Write the appropriate simulation

Since the three songs all have equal chances of being played at the danc party, this goes that they will all follow a simulation that gives equal number of outcomes.

Option A does gives country song 1/2 probability while the other two have 1/4 each

Option b gives both rock and country 3/10 chances each while pop has 2/5 probability

Option C gives country 1/2 while the other two have 1/4 each

Option D gives rock 1/3 chance of happening, country has 1/3 and pop 1/3

Hence, the correct answer is seen in option D