A student has to match three historical events. Dandi March, Quit India movement and Mahatma Gandgi's assassination with the years 1948, 1930 and 1942. The student has no knowledge of the correct answers and decides to match the events and years randomly. If X denotes the number of correct answers he gets, then
P(X = 3) =...........

\frac{1}{2}

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\frac{1}{6}

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\frac{1}{3}

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Solution

The correct option is B $\frac{1}{6}$
The number of ways in which the students can mark the answer in $3.2.1 = 6$
All the three answer can be correct in just one way
Hence required probability $= \frac{1}{6}$

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Q. A student has to match three historical events. Dandi March, Quit India movement and Mahatma Gandhi's assassination with years 1948, 1930 and 1942. The student has no knowledge of the correct answers and decides to match the events and years randomly. If

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A test has 50 questions. A student scores 1 mark for a correct answer, $\frac{- 1}{3}$ for a wrong answer, and $\frac{- 1}{6}$ for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

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The correct option is B 16The number of ways in which the students can mark the answer in 3.2.1=6All the three answer can be correct in just one wayHence required probability =16

The correct option is B $\frac{1}{6}$
The number of ways in which the students can mark the answer in $3.2.1 = 6$
All the three answer can be correct in just one way
Hence required probability $= \frac{1}{6}$