JEE MATHEMATICS MCQ: PROBABILITY

1 Medium

1 of 1

Analyzing +4 | -1

Let

S

be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces (numbered 1 to 6) and let

{E_k} = \left\{ {\left( {a,\;b} \right) \in S:ab = k} \right\}\;

for

k \ge 1.

{p_k} = P\left( {{E_k}} \right)

for

k \ge 1,\;

then the correct among the following, is

View answer and explanation

Correct option: A

{p_1} < {p_{30}} < {p_4} < {p_6}

Option D (

p_{36} < p_{11} < p_6 < p_4

) is incorrect. Option A (

p_1 < p_{30} < p_4 < p_6

) is correct because it correctly orders the probabilities of the product of two dice rolls equaling specific values.

More Questions from PROBABILITY

Practice All Chapter MCQs →

\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