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I'm awful at these kinds of questions, woould appreciate some help c: Thanks in advance.

At a game there is made use of a stack of twenty cards. There are four different kind of cards that all appear five times. The cards are shook well, and then a card will get picked from the stack, which will be noted and then put back in the stack again. This happens three times.

1. How many different sequences are there possible?

2. How big is the chance that there'll be chosen three of the same kind?

3. Now they pick five cards instead of three, how many different sequences are there possible now?

Nov 20, 2017

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Suppose the cards a labelled ABCD and there are 4 of each so 20 cards in total.

The cards are shook well, and then a card will get picked from the stack, which will be noted and then put back in the stack again. This happens three times.

1. How many different sequences are there possible?   4^3 = 64

2. How big is the chance that there'll be chosen three of the same kind?  4/64 = 1/16

3. Now they pick five cards instead of three, how many different sequences are there possible now?

4^5 = 1024

Nov 20, 2017