Question

Latanya recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 14 Bass 9 Drums 2 Keyboard 9 Eighth Grade Students Instrument # of Students Guitar 4 Bass 15 Drums 12 Keyboard 14 Based on these results, express the probability that an eighth grader chosen at random will play the drums as a decimal to the nearest hundredth.

Answer 1

0.27

Explanation:

First, let's understand the problem. We are asked to find the probability that an eighth grader chosen at random will play the drums.

To solve this problem, we need to know two things: the total number of eighth graders and the number of eighth graders who play the drums.

From the table, we can see that the number of eighth graders who play the drums is 12.

To find the total number of eighth graders, we need to add up the number of students who play each instrument in the eighth grade.

From the table, we can see that there are 4 students who play the guitar, 15 who play the bass, 12 who play the drums, and 14 who play the keyboard.

So, the total number of eighth graders is 4 + 15 + 12 + 14 = 45.

The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.

In this case, the event is an eighth grader playing the drums, and the total number of outcomes is the total number of eighth graders.

So, the probability that an eighth grader chosen at random will play the drums is 12/45.

To express this as a decimal to the nearest hundredth, we divide 12 by 45 to get 0.26666666666666666.

Rounding this to the nearest hundredth gives us 0.27.

So, the probability that an eighth grader chosen at random will play the drums is 0.27.

Therefore, the answer is:

0.27

Answer 2

There are 43 eighth grade students in total, and 12 of them play the drums. Therefore, the probability that an eighth grader chosen at random will play the drums is 12/43 ≈ 0.28. Rounded to the nearest hundredth, the probability is 0.28. Answer: 0.28.