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  • Two cards are drawn at random in succession with replacement from a deck of 52 well shuffled card probability of getting both 'Aces' isOption: 1

Two cards are drawn at random in succession with replacement from a deck of 52 well shuffled card probability of getting both 'Aces' is

Option: 1

\frac{1}{169}


Option: 2

\frac{2}{169}


Option: 3

\frac{1}{13}


Option: 4

\frac{2}{13}


Answers (1)

best_answer

Probability of drawing an Ace card from a pack of cards

              \mathrm{=\frac{{ }^4 C_1}{{ }^{52} C_1}}

Required probability

              \mathrm{=\frac{{ }^4 C_1}{{ }^{52} C_1} \times \frac{{ }^4 C_1}{{ }^{52} C_1}=\frac{1}{169}}

[ cards are drawing using the concept of 'with Replacement' so both are independent events, so we can multiply them.]

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