How many times are you supposed to pick.... since there 2reds and 2whites you need so i thought this would mean picking 4times... reply
6 cards are placed face down on a table. Some are red and some are white. You guess all 6 at random.
a) Suppose you are told that 2 are red and 4 are white cards. The rule is you must guess which two are red and which two are white. What is the probability that you get k correct, k=1,2,3,4,5, or6?
b) 3 are red and 3 are white. The rule is you have to guess which 3 are red and which 3 are white. What is the probability that you get k correct, k=1,2,3,4,5,or 6?
c) 1 is red and 5 are white. What is the probability you get k correct, k=1,2,3,4,5 or 6?
Hello, wvlilgurl!
You have a typo . . . a bit misleading.
And the instructions need some clarification.
It depends on what is meant by "guess at random."Six cards are placed face down on a table. Some are red and some are white.
You guess all 6 at random.
a) Suppose you are told that 2 are red and 4 are white cards.
You must guess which two are red and which four are white.
What is the probability that you get k correct, k = 1,2,3,4,5,6 ?
If each guess is independent of the others, then we can use a strategy.
. .
So it is possible that our guess might be: RRRRRW,
. . which we know is impossible,
. . but would be included in our calculations.
We could make a guess with two Reds and four Whites each time.
The probabilties can be calculated by Brute Force.
There are: . possible ordering, listed below.
. . . . . . . .
If we guess any one of the above orderings, we will guess:
. . 2 correctly of the time, 4 correctly of the time, 6 correctly of the time.
Therefore: .