Talk:QB/d Bell.Venn

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QB/d_Bell.Venn [edit]

1[edit]

  • Bell's theorem Venn diagram cards quiz01.svg
    Calculate the measured probability:
    P(♠,) = ?
    Assume the dots represent five observations.

- 2/4=1/2 - 2/5 + 3/5 - 3/4 - 5/6

Hint[edit]

(2+1)/5 = 3/5 (Add dots in the α and Δ regions)

2[edit]

  • Bell's theorem Venn diagram cards quiz01.svg
    Calculate the measured probability:
    P(♠,) = ?
    Assume the dots represent five observations.

- 2/4=1/2 + 2/5 - 3/5 - 3/4 - 5/6

Hint[edit]

(1+1)/5=2/5 add dots in the β and Δ regions

3[edit]

  • Bell's theorem Venn diagram cards quiz01.svg
    Calculate the probability
    P(♠,)+P(♠,)+P(,) = ?
    Assume the dots represent five observations.

- 4/5 - 5/6 - 5/4 - 6/5 + 7/5

Hint[edit]

(5+2)/5=7/5 Add the dots, and then add twice the center. Or add the dots outside the Δ region, and then add three times what is in the Δ region (since it gets counted thrice).

4[edit]

  • Bell's theorem Venn diagram cards quiz01.svg
    Calculate the quantum correlation:
    C(♠,) = ?
    Assume the dots represent five observations.

- −2/5 - −1/5 - 0 + +1/5 - +2/5 - +1

Hint[edit]

P(spade,diamond)=3/5 and C=2P-1 = +1/5= {3(same)−2(different)}/5

5[edit]

  • Bell's theorem Venn diagram cards quiz01.svg
    Calculate the measured quantum correlation:
    C(♠,) = ?
    Assume the dots represent five observations.

- −2/5 + −1/5 - 0 - +1/5 - +2/5 - +1

Hint[edit]

6[edit]

  • Conditional probability venn 2345.svg
    If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?

- 0 - 1/4 + 1/2 - 3/4 - 1 - 5/4

Hint[edit]

2 and 4 are even

7[edit]

  • Conditional probability venn 2345.svg
    If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?

- 0 - 1/4 - 1/2 + 3/4 - 1 - 5/4

Hint[edit]

2, 3, and 5 are prime

8[edit]

  • Conditional probability venn 2345.svg
    If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?

- 0 - 1/4 - 1/2 - 3/4 - 1 + 5/4

Hint[edit]

P(even)+P(prime)= 2/4 + 3/4 = 5/4

9[edit]

  • Conditional probability venn 2345.svg
    If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?

- 0 + 1/4 - 1/2 - 3/4 - 1 - 5/4

Hint[edit]

Only 2 is both prime and even

10[edit]

  • Conditional probability venn 2345.svg
    If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?

- 0 - 1/4 - 1/2 - 3/4 + 1 - 5/4

Hint[edit]

Every number is either: the first is boty, the second is odd, the third is even, and the fourth is odd (whew!)

Raw script[edit]

t QB/d_Bell.Venn
! CC0 user:Guy vandegrift
?
Bell's theorem Venn diagram cards quiz01.svg
Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
- 2/4=1/2
- 2/5
+ 3/5
- 3/4
- 5/6
$ (2+1)/5 = 3/5 (Add dots in the α and Δ regions)


! CC0 user:Guy vandegrift
?
Bell's theorem Venn diagram cards quiz01.svg
Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
- 2/4=1/2
+ 2/5
- 3/5
- 3/4
- 5/6
$ (1+1)/5=2/5 add dots in the β and Δ regions


! CC0 user:Guy vandegrift
?
Bell's theorem Venn diagram cards quiz01.svg
Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-4/5
-5/6
-5/4
-6/5
+7/5
$ (5+2)/5=7/5 Add the dots, and then add twice the center. Or add the dots outside the Δ region, and then add three times what is in the Δ region (since it gets counted thrice).


! CC0 user:Guy vandegrift
?
Bell's theorem Venn diagram cards quiz01.svg
Calculate the quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
- −2/5
- −1/5
- 0
+ +1/5
- +2/5
- +1
$P(spade,diamond)=3/5 and C=2P-1 = +1/5= {3(same)−2(different)}/5


! CC0 user:Guy vandegrift
?
Bell's theorem Venn diagram cards quiz01.svg
Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
- −2/5
+ −1/5
- 0
- +1/5
- +2/5
- +1
$


! CC0 user:Guy vandegrift
?
Conditional probability venn 2345.svg
If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
- 0
- 1/4
+ 1/2
- 3/4
- 1
- 5/4
$ 2 and 4 are even


! CC0 user:Guy vandegrift
?
Conditional probability venn 2345.svg
If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
- 0
- 1/4
- 1/2
+ 3/4
- 1
- 5/4
$ 2, 3, and 5 are prime


! CC0 user:Guy vandegrift
?
Conditional probability venn 2345.svg
If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
- 0
- 1/4
- 1/2
- 3/4
- 1
+ 5/4
$ P(even)+P(prime)= 2/4 + 3/4 = 5/4


! CC0 user:Guy vandegrift
?
Conditional probability venn 2345.svg
If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
- 0
+ 1/4
- 1/2
- 3/4
- 1
- 5/4
$ Only 2 is both prime and even


! CC0 user:Guy vandegrift
?
Conditional probability venn 2345.svg
If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
- 0
- 1/4
- 1/2
- 3/4
+ 1
- 5/4
$ Every number is either: the first is boty, the second is odd, the third is even, and the fourth is odd (whew!)