Question 220993
You draw one card from a 52-card deck. The card is replaced and the deck is reshuffled, then you draw a second card. Find the probability of drawing a 3 each time.


Step 1.  The probability of the first card drawing a three is {{{4/52=1/13}}} since there are 4 threes in 52-card deck.


Step 2.  Since the card is replaced we still have {{{4/52=1/13}}} on the second draw which means that it's the same probability as the first card.


Step 3.  ANSWER:  The probability of Step 1 and 2 is their product or {{{(1/13)*(1/13)=1/169}}} which is probability of drawing threes in the first two cards with replacement.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J