Help With a Statistical Question
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Help With a Statistical Question

[From: ] [author: ] [Date: 12-04-09] [Hit: ]
The card goes back into the deck, and the deck is shuffled.Question 2: A little while later, they pick another another card from the stack of 11. What is the statistical chance of them picking the same card twice?Question 3: What is the likelihood of them doing this ten times in a row with different cards?......
I don't understand statistics very well, but I have a question that I need help with.
Question 1: If there are 11 cards in a pile, and somebody is choosing one at random, what's the chance of them choosing a specific card?
The card goes back into the deck, and the deck is shuffled.
Question 2: A little while later, they pick another another card from the stack of 11. What is the statistical chance of them picking the same card twice?
Question 3: What is the likelihood of them doing this ten times in a row with different cards?


This is not a joke or a riddle, I am just wondering if someone can explain to me what the answer is and how to find it.

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Ok first if there are 11 cards, the chance to get a specific card is 1/11

For question 2, it can mean two things, if you want to get a SPECIFIC card twice, it's 1/11 * 1/11, so it's 1/121 chance
However to get any card twice, the second one just has to be same as the first, so it's just 1/11 chance

I don't get the third question, what do you mean "different cards", if you just want to get a specific card 10 times it's (1/11)^10 chance

Edit: If you mean for the third question that for ten times they pick a card twice, is it a must that it must be a different card each time?

Edit: I'm still not sure what I will say is what you need, but I'll try anyway (edit to correct if I'm wrong)
First a random card is shown, this can be any card, then they show this card again, the probability of this happening is 1/11
Then they show a card that MUST be different from the first, probability is 10/11, then they show same card again, 1/11
Then the
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