Case Study Challenge

Decimal Comparison & Probability Analysis

Some students have a misconception while comparing decimals (e.g., thinking 78.56 > 78.9 because 7856 > 789).

A teacher administered a test to Class VI students based on javelin throw distances:

Name of Student Distance (meters)
Ajay / Bijoy / Kartik 47.7 / 47.07 / 43.09
Dinesh / Devesh 43.9 / 45.2

Teacher’s Data:

  • 40% of students have the misconception.
  • 80% of those with the misconception answered Bijoy.
  • 90% of those without the misconception did not answer Bijoy.

Answer the following:

(i) Probability of a student not having a misconception but still answering Bijoy? [1]
(ii) Probability that a randomly selected student answers Bijoy? [1]
(iii) (a) Probability that a student who answered Bijoy has a misconception?

— OR —

(b) Probability that a student who answered Bijoy is amongst those who do not have the misconception?

 [2]
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