Question

A lecture hall has 200 seats with folding arm tablets, 30 of which are designed for left-handers. The typical size of classes that meet there is 188, and we can assume that about 13% of students are left-handed. What's the probability that a right-handed student in one of these classes is forced to use a lefty arm tablet?

Answer 1

The probability that a right-handed student is forced to use a left-handed desk arm is approximately 10.8%.

Step-by-step explanation:

The question is asking to find the probability that a right-handed student will be forced to use a left-handed desk arm in a lecture hall. To solve this, we should consider the total number of left-handed arm tablets and the expected number of left-handed students based on the given percentage. Let's assume that all left-handed students get a left-handed desk arm. We have 30 left-handed desks and given that 13% of students are left-handed in a typical class size of 188 students, we would expect roughly 24 left-handed students (0.13 * 188 ≈ 24) to be in each class.

Since not all of the left-handed desks will be taken by left-handed students (24 out of 30), there are 6 desks that could be used by right-handed students. However, the total number of students exceeds the total number of right-handed desks (200 total desks - 30 left-handed desks = 170 right-handed desks). This leaves us with 188 - 170 = 18 right-handed students who must use a left-handed desk. The probability that a right-handed student must use a left-handed desk is thus the number of right-handed students forced to use left-handed desks divided by the total number of right-handed students, which is 18/(188 - 24) ≈ 0.108, or 10.8%.

Answer 2

To find the probability that a right-handed student is forced to use a lefty arm tablet, we need to determine the number of right-handed students in the class and the probability of each of them using a lefty arm tablet. The probability is approximately 26.1 percent.

Step-by-step explanation:

To find the probability that a right-handed student is forced to use a lefty arm tablet, we need to determine the number of right-handed students in the class and the probability of each of them using a lefty arm tablet.

First, we calculate the number of right-handed students in the class. Since there are 188 students in the class and 13% of students are left-handed, 100% - 13% = 87% of students are right-handed. Therefore, the number of right-handed students is 87% of 188: 0.87 x 188 = 163.56.

Next, we calculate the probability of a right-handed student using a lefty arm tablet. Since there are 30 lefty arm tablets and we assume that they are equally distributed among all students, the probability that a right-handed student is forced to use a lefty arm tablet is 30/188 = 0.1596.

Therefore, the probability that a right-handed student in the class is forced to use a lefty arm tablet is 0.1596 x 163.56 = 26.1%, or approximately 26.1 percent.