Four cards are face down on a Table. You are told that two are red and two are black, and you need to guess which two are red and which two are black. YOU DO THIS BY USING TWO FINGERS TO POINT AT TWO...

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Four cards are face down on a Table. You are told that two are red and two are black, and you need to guess which two are red and which two are black. YOU DO THIS BY USING TWO FINGERS TO POINT AT TWO CARDS (so you are pointing to two cards at a time). So when you are guess red, then implicitly you are guessing that the other two are black. Assume that all configurations are equally likely. Find the probability that exactly j of your guesses are correct, for j = 0,1,2,3,4
REMEMBER YOU POINT TO TWO CARDS AT THE SAME TIME AND CHOOSE THE COLOR.

Answered Same DayDec 26, 2021

Answer To: Four cards are face down on a Table. You are told that two are red and two are black, and you need...

David answered on Dec 26 2021

122 Votes

Probability that I guess black =
1
2
Probability that I guess red =
1
2
Probability I guess black(
1
probability
2
 )
Both comes
black
2
2
4
2
1
6
C
C

1
12

Both comes red 2
2
4
2
1
6
C
C

1
12

One black and
one red comes
2 2
1 1
4
2
4
6
C C
C


4
12
...

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Four cards are face down on a Table. You are told that two are red and two are black, and you need to guess which two are red and which two are black. YOU DO THIS BY USING TWO FINGERS TO POINT AT TWO...

Answer To: Four cards are face down on a Table. You are told that two are red and two are black, and you need...

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