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 jack the first time and a clu

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 jack the first time and a clu      Log On


   

Question 220992: 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 jack the first time and a club the second 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 jack the first time and a club the second time.

Step 1. The probability of the first card drawing a three is 4%2F52=1%2F13 since there are 4 jacks in 52-card deck.

Step 2. Since the card is replaced we have 13%2F52=1%2F4 since there are 13 clubs in a 52-card deck.

Step 3. ANSWER: The probability of Step 1 and 2 is their product or %281%2F13%29%2A%281%2F4%29=1%2F52.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J