The marks obtained by Vinay in unit tests of 50 marks each are:
| Unit Test | I | II | III | IV | V | VI |
|---|---|---|---|---|---|---|
| Marks obtained | 35 | 28 | 39 | 26 | 40 | 32 |
The probability that Vinay gets marks above 56% in a unit test is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 66%
A probability worked out from data is the number of times the event happened divided by the number of trials. Here each unit test is a trial, and the event is scoring above 56% of 50 marks.
56% of 50 \(=28\) marks, so the event is scoring more than 28
Tests with more than 28 marks: 35, 39, 40 and 32, that is, 4 of the 6 tests (28 itself is not above 28)
Probability \(\displaystyle=\frac{4}{6}=\frac{2}{3}\), that is, \(66\frac{2}{3}\%\)