Talk:QB/d Bell.Venn

QB/d_Bell.Venn

1

• 

  Calculate the measured probability:
  P(♠,♦) = ?
  Assume the dots represent five observations.

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

Hint

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

2

• 

  Calculate the measured probability:
  P(♠,♥) = ?
  Assume the dots represent five observations.

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

Hint

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

3

• 

  Calculate the probability
  P(♠,♦)+P(♠,♥)+P(♥,♦) = ?
  Assume the dots represent five observations.

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

Hint

(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

• 

  Calculate the quantum correlation:
  C(♠,♦) = ?
  Assume the dots represent five observations.

- −2/5 - −1/5 - 0 + +1/5 - +2/5 - +1

Hint

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

5

• 

  Calculate the measured quantum correlation:
  C(♠,♥) = ?
  Assume the dots represent five observations.

- −2/5 + −1/5 - 0 - +1/5 - +2/5 - +1

Hint

$(2_{\text{same}}-3_{\text{different}})/5=-1/5=2P(heart,spade)-1=2(2/5)-1$

6

• 

  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

2 and 4 are even

7

• 

  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

2, 3, and 5 are prime

8

• 

  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

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

9

• 

  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

Only 2 is both prime and even

10

• 

  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

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

Raw script

t QB/d_Bell.Venn

! CC0 user:Guy vandegrift

?

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

?

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

?

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

?

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

?

Calculate the measured quantum correlation:
C(♠,♥) = ?
Assume the dots represent five observations.

- −2/5

+ −1/5

- 0

- +1/5

- +2/5

- +1

$ $(2_{\text{same}}-3_{\text{different}})/5=-1/5=2P(heart,spade)-1=2(2/5)-1$

! CC0 user:Guy vandegrift

?

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

?

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

?

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

?

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

?

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!)