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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
since there are 4 threes in 52-card deck.
Step 2. Since the card is replaced we still have
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
which is probability of drawing threes in the first two cards with replacement.
I hope the above steps were helpful.
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