SOLUTION: 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.

Algebra ->  Algebra  -> Permutations -> SOLUTION: 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.      Log On

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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.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F52=1%2F13 since there are 4 threes in 52-card deck.

Step 2. Since the card is replaced we still have 4%2F52=1%2F13 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 %281%2F13%29%2A%281%2F13%29=1%2F169 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