Two cards are drawn successively with replacement from a well shuffled pack of 52 playing cards. Which of the following is correct probability distribution of number of Queens(X) as XP(X)? Option 1: pmatrix 0 & 1 & 2 \\ 144/169 & 24/169 & 1/169 pmatrix Option 2: pmatrix 0 & 1 & 2 \\ 1/169 & 24/169 & 144/169 pmatrix Option 3: pmatrix 0 & 1 & 2 \\ 144/169 & 1/169 & 24/169 pmatrix Option 4: pmatrix 0 & 1 & 2 \\ 144/169 & 2/169 & 23/169 pmatrix

The answer is 'pmatrix 0 & 1 & 2 \\ 144/169 & 24/169 & 1/169 pmatrix'. View full solution:

Two cards are drawn successively with replacement from a well shuff<=d pack of 52 playing cards. Which of the following is correct probability distribution of number of Queens(X) as XP(X)?

±atrix 0 & 1 & 2 \\ 144/169 & 24/169 & 1/169 ±atrix

±atrix 0 & 1 & 2 \\ 1/169 & 24/169 & 144/169 ±atrix

±atrix 0 & 1 & 2 \\ 144/169 & 1/169 & 24/169 ±atrix

±atrix 0 & 1 & 2 \\ 144/169 & 2/169 & 23/169 ±atrix

CUET Mathematics 2026 19th May Shift 1

Algebra

Easy

applied

$\begin{pmatrix} 0 & 1 & 2 \\ \frac{144}{169} & \frac{24}{169} & \frac{1}{169} \end{pmatrix}$

$\begin{pmatrix} 0 & 1 & 2 \\ \frac{1}{169} & \frac{24}{169} & \frac{144}{169} \end{pmatrix}$

$\begin{pmatrix} 0 & 1 & 2 \\ \frac{144}{169} & \frac{1}{169} & \frac{24}{169} \end{pmatrix}$

$\begin{pmatrix} 0 & 1 & 2 \\ \frac{144}{169} & \frac{2}{169} & \frac{23}{169} \end{pmatrix}$

✅ Correct Option: 1