Two cards are drawn simultaneously at random from a well shuffled pack of 52 Cards. Let X be the random variable which denotes number of kings in the draw. Then the probability distribution of X is

Question

Option 1: | X | 0 | 1 | 2 | | ---- | --------------------------- | ---------------------------------------- | ------------------------ | | P(X) | ^48C_2^52C_2 | ^4C_1 x ^48C_1^52C_2 | ^4C_2^52C_2 |

Option 2: | X | 0 | 1 | 2 | | ---- | ------------------------- | ------------------------- | ------------------------- | | P(X) | ^4C_0^52C_2 | ^4C_1^52C_2 | ^4C_2^52C_2 |

Option 3: | X | 0 | 1 | 2 | | ---- | ------------------------- | ----------------------------------------- | ---------------------------- | | P(X) | ^4C_2^52C_2 | ^4C_1 x ^48C_1^52C_2 | ^48C_2^52C_2 |

Option 4: | X | 0 | 1 | 2 | | ---- | ------------------------- | ---------------------------- | ------------------------- | | P(X) | ^4C_0^52C_2 | ^48C_1^52C_2 | ^4C_2^52C_2 |

AfterBoards · Accepted Answer

The answer is '| X | 0 | 1 | 2 | | ---- | --------------------------- | ---------------------------------------- | ------------------------ | | P(X) | ^48C_2^52C_2 | ^4C_1 x ^48C_1^52C_2 | ^4C_2^52C_2 |'. View full solution:

LIST-I	LIST-II
A. The Probability that the defective product is from A	I. 4/9
B. The Probability that the defective product is from B	II. 0
C. Probability of defective product	III. 1/2
D. Probability that the defective product is from D	IV. 3/20

List-I	List-II
(A) $k$	(I) $\frac{5}{6}$
(B) $P(X < 2)$	(II) $\frac{4}{3}$
(C) $E(X)$	(III) $\frac{1}{2}$
(D) $P(1 \leq X \leq 2)$	(IV) $\frac{1}{6}$

List-I	List-II
(A) No red ball is	(I) $\frac{12}{35}$
(B) Only 1 red ball is	(II) $\frac{1}{35}$
(C) Exactly 2 red balls is	(III) $\frac{4}{35}$
(D) no white ball is	(IV) $\frac{18}{35}$

Two cards are drawn simultaneously at random from a well shuffled pack of 52 Cards. Let X be the random variable which denotes number of kings in the draw. Then the probability distribution of X is

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