Question

Out of a class of 100 students, 60 love maths, 40 love poetry, but 25 love neither maths nor poetry. What is the probability that a randomly selected student loves both maths and poetry​

Answer 1

Step-by-step explanation:

total no. of students - those who love neither =100-25

= 75 = students who love either math or poetry

now, 75 - those who love math

= 75 -60 = 15

so this means that that these 15 no. of students love only poetry

therefore, now, subtract these 15 no. of students from 40 = 40-15 = 25

thus, these 25 no. of students love both math and poetry

hence, p = no. of outcomes/ total outcomes =25/100

= 1/4 = this would be my answer.