JEE MATHEMATICS MCQ: PROBABILITY

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Girl students constitute

10 \%

of I year and

5 \%

of II year at Roorkee University. During summer holidays

70 \%

of the I year and

30 \%

of II year students are given a project. The girls take turns on duty in canteen. The chance that I year girl student is on duty in a randomly selected day is

View answer and explanation

Correct option: B

\frac{14}{17}

Option B (

\frac{14}{17}

) is correct because it represents the conditional probability of a randomly selected girl on duty being from the I year.

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Consider the probability distribution

\begin{array}{cccccc}X: & 1 & 2 & 3 & 4 & 5 \\ P(X): & k^2 & 2 k & k & 2 k & 5 k^2\end{array}

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is A bag contains

\left( {2\;n + 1} \right)

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n

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A

and

B

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P\left( {A \cap B'} \right) = \frac{3}{{25}}

and

P\left( {A' \cap B} \right) = \frac{8}{{25}}

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P\left( A \right)

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A

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B

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A

and total of scores on the two dice, in each throw is noted. A wins the game if he throws a total of 6 before

B

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B

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A

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