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

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

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

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
$${\displaystyle (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!)