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Question

50 students in a class were given a test containing 5 questions. The number of students who answered different number of questions are given.

Number of questionsFrequency03162831541652

(i) Find the probability of picking a student who answered all five questions;

(ii) Find the probability of picking a student who answered not less than three;

(iii) Find the probability of picking a student who answered none of the questions. [3 MARKS]                  


Solution

Concept: 1.5 Marks
Solution: 0.5 Mark each


Probability of picking a student who answered all five =250  = 0.04
Probability of picking a student who answered not less than three = (2+16+15)50 = 3350 = 0.66
Probability of picking a student who answered none = 350 = 0.06

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