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From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -
Answer & Solution
Correct Answer:
Option
A
Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king.
$$P\left( {{E_1} \cap {E_2}} \right) = P\left( {{E_1}} \right).P\left( {{E_2}} \right)$$
(As E1 and E2 are independent)
$$\eqalign{ & = \frac{1}{2} \times \frac{1}{{13}} \cr & = \frac{1}{{26}} \cr} $$
Let E2 be the event of drawing a king.
$$P\left( {{E_1} \cap {E_2}} \right) = P\left( {{E_1}} \right).P\left( {{E_2}} \right)$$
(As E1 and E2 are independent)
$$\eqalign{ & = \frac{1}{2} \times \frac{1}{{13}} \cr & = \frac{1}{{26}} \cr} $$
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