JEE MATHEMATICS MCQ: PROBABILITY

1 Easy

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Application +4 | -1

When a certain biased die is rolled, a particular face occurs with probability

\frac{1}{6} - x

and its opposite face occurs with probability

\frac{1}{6} + x

. All other faces occurs with probability

1/60.

Note that opposite faces sum to

7

in any die. If

0\, < x\, < \,\frac{1}{6},

and the probability of obtaining total sum

= 7,

when such a die is rolled twice is 13/96, then the value of

x

View answer and explanation

Correct option: B

1/8

The correct answer is

1/8

because it is the solution to the equation derived from the given probability of obtaining a total sum of 7 when the biased die is rolled twice.

More Questions from PROBABILITY

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

P(X>2)

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

n

n + 1

n

A

B

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

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

P\left( A \right)

A

B

A

B

B

A