Math Help Please?

2018-07-06 5:58 am
Suppose you have a wallet that contains either a $1 bill or a $10 bill (with equal probability). You add a $1 bill. Later you reach into your wallet and randomly remove a bill. It's a $1 bill. What's the probability that the bill remaining in the wallet is a $1 bill?

回答 (5)

2018-07-06 6:15 am
✔ 最佳答案
There are four possibilities:
Original $1, you pull it.
Original $1, you pull the one you added.
Original $10, you pull it.
Original $10, you pull the one you added.
Each is equally likely.
Three of the possibilities have you pull a one.
2/3 of those started with a one.
1/3 of those started with a ten.
2/3 is the answer.
2018-07-07 10:41 pm
Visualize it like this:
Have x = $10 and y = $1.
The two probabilities are xy or yy, the chance of pulling out a y is therefore 3/4.
2018-07-06 6:12 am
1/2
2018-07-06 6:03 am
50% which is the same probability it was before adding and removing the same exact bill
2018-07-06 7:32 am
Sounds like a variation of the Monty Hall problem.

I'm going to guess the answer is 2/3.


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