Question 10
In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?
(a) 20%
(b) 40%
(c) 50%
(d) 30%

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Solution

Total number of outcomes = Total number of students = 5
Number of possible outcomes = Students participating in a quiz = 2
$∴ P r o b a b i l i t y = \frac{N u m b e r o f p o s s i b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s} = \frac{2}{5}$
To find percentage, we have to multiply it by hundred $= \frac{2}{5} \times 100 = 40 %$

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Q. Assertion :Mathematics textbook for Class VII has 320 pages.The chapter 'Symmetry' runs from page 261 to page 272.The ratio of the number of pages of this chapter to the total number of pages of the book is 3 : 80 Reason: In a school of 100 students only 2 out of 5 students can participate in a quiz.The percentage of students that participate in the quiz is