Talk:QB/d Bell.Venn

1
- 2/4=1/2 - 2/5 + 3/5 - 3/4 - 5/6
 * Bell's theorem Venn diagram cards quiz01.svglate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.

Hint
(2+1)/5 = 3/5 (Add dots in the &alpha; and &Delta; regions)

2
- 2/4=1/2 + 2/5 - 3/5 - 3/4 - 5/6
 * Bell's theorem Venn diagram cards quiz01.svglate the measured probability: P(&spades;,) = ? Assume the dots represent five observations.

Hint
(1+1)/5=2/5 add dots in the &beta; and &Delta; regions

3
- 4/5 - 5/6    - 5/4   - 6/5     + 7/5
 * Bell's theorem Venn diagram cards quiz01.svglate the probability P(&spades;,)+P(&spades;,)+P = ? Assume the dots represent five observations.

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

4
- &minus;2/5 - &minus;1/5 - 0 + +1/5 - +2/5 - +1
 * Bell's theorem Venn diagram cards quiz01.svglate the quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.

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

5
- &minus;2/5 + &minus;1/5 - 0 - +1/5 - +2/5 - +1
 * Bell's theorem Venn diagram cards quiz01.svglate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.

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

6
- 0 - 1/4 + 1/2 - 3/4 - 1 - 5/4
 * Conditional probability venn 2345.svg a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?

Hint
2 and 4 are even

7
- 0 - 1/4 - 1/2 + 3/4 - 1 - 5/4
 * Conditional probability venn 2345.svg a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?

Hint
2, 3, and 5 are prime

8
- 0 - 1/4 - 1/2 - 3/4 - 1 + 5/4
 * Conditional probability venn 2345.svg 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?

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

9
- 0 + 1/4 - 1/2 - 3/4 - 1 - 5/4
 * Conditional probability venn 2345.svg a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?

Hint
Only 2 is both prime and even

10
- 0 - 1/4 - 1/2 - 3/4 + 1 - 5/4
 * Conditional probability venn 2345.svg a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?

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
 * ?Bell's theorem Venn diagram cards quiz01.svglate the measured probability: P(&spades;,) = ? 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 &alpha; and &Delta; regions)


 * ! CC0 user:Guy vandegrift
 * ?Bell's theorem Venn diagram cards quiz01.svglate the measured probability: P(&spades;,) = ? 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 &beta; and &Delta; regions


 * ! CC0 user:Guy vandegrift
 * ?Bell's theorem Venn diagram cards quiz01.svglate the probability P(&spades;,)+P(&spades;,)+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 &Delta; region, and then add three times what is in the &Delta; region (since it gets counted thrice).


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


 * ! CC0 user:Guy vandegrift
 * ?Bell's theorem Venn diagram cards quiz01.svglate the measured quantum correlation: C(&spades;,) = ? Assume the dots represent five observations.
 * - &minus;2/5
 * + &minus;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
 * ?Conditional probability venn 2345.svg 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 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 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 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 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!)