Two cards are drawn from a well shuffled deck of 52 playing cards with

1.	Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability that both cards are queen isA. \(\cfrac1{13}\times\cfrac1{13}\)B. \(\cfrac1{13}+\cfrac1{13}\)C. \(\cfrac1{13}\times\cfrac1{17}\)D. \(\cfrac1{13}\times\cfrac4{5}\)
Answer» Correct option is A. \(\cfrac1{13}\times\cfrac1{13}\) M = Event that Queen is draw in in first draw. P(M) = \(\cfrac4{52}\) N = Event that Queen is drawn in second draw. P(N) = \(\cfrac4{52}\) Now, Probability that both the cards drawn are queen: P = P(M) x P(N) P = \(\cfrac4{52}\) x \(\cfrac4{52}\) = \(\cfrac1{13}\times\cfrac1{13}\)

Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability that both cards are queen isA. \(\cfrac1{13}\times\cfrac1{13}\)B. \(\cfrac1{13}+\cfrac1{13}\)C. \(\cfrac1{13}\times\cfrac1{17}\)D. \(\cfrac1{13}\times\cfrac4{5}\)

Answer»

Correct option is A. \(\cfrac1{13}\times\cfrac1{13}\)

M = Event that Queen is draw in in first draw.

P(M) = \(\cfrac4{52}\)

N = Event that Queen is drawn in second draw.

P(N) = \(\cfrac4{52}\)

Now, Probability that both the cards drawn are queen:

P = P(M) x P(N)

P = \(\cfrac4{52}\) x \(\cfrac4{52}\)

= \(\cfrac1{13}\times\cfrac1{13}\)

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Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability that both cards are queen isA. \(\cfrac1{13}\times\cfrac1{13}\)B. \(\cfrac1{13}+\cfrac1{13}\)C. \(\cfrac1{13}\times\cfrac1{17}\)D. \(\cfrac1{13}\times\cfrac4{5}\)

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