Question

a group of 80 students of class X are selected and asked for their choice of subject to be taken in class XI, which is recorded as below. stream- PCM, PCB, Commerce, Humanity, Total. Number of students- 29, 18, 21, 12, 80. If the student js chosen at random, find the probability that he/she is a student of either commerce or humanity system

Answer 1

Answer:

The Probability of student selecting either commerce or humanity system is 0.413.

Step-by-step explanation:

Given that there are 80 students of Class X.

A survey is done to check their choices for subjects to be taken in XI for which the data is as follows

PCM-29

PCB-18

Commerce-21

Humanity-12

To find, the probability of student selecting either Commerce or Humanity.

This can be found out by adding the probability of student selecting Commerce and Human System.

Thus,

Probability of selecting Commerce, P(C)= $\frac{Number of students selecting commerce}{Total Number of students}$

P(C)= $\frac{21}{80\\}$

Probability of student selecting Humanity, P(H)= $\frac{number of students selecting humanity}{total number of students}$

P(H)=$\frac{12}{80}$

∴ Probability of selecting commerce or humanity system is, P(X)=P(C)+P(H)

⇒P(X)=   $\frac{21}{80\\}$+$\frac{12}{80}$

⇒P(X)= $\frac{33}{80\\}$

⇒P(X)= 0.413

Answer 2

Answer:

The Probability of  Student of either commerce or humanity is 33 / 80 .

Step-by-step explanation:

• In the context to the given question, we have to find the probability of a student of either commerce or humanity.
• Given,

⇒Number of PCM students = 29

⇒Number of PCB students = 18

⇒Number of Commerce students = 21

⇒Number of Humanity students = 12

⇒Total number of students = 80

• As we have to find probability of a student of either commerce or humanity

⇒ Student of either commerce or humanity = 21 + 12 =33

⇒ Probability of  Student of either commerce or humanity = No. of  Student in  commerce and humanity / Total number of students.

⇒ Probability of  Student of either commerce or humanity =  33 / 80

Therefore, The Probability of  Student of either commerce or humanity =  33 / 80 .