Հանրահաշիվ 9

ՊԱՏԱՀԱՐՆԵՐԻ ՄԻԱՎՈՐՄԱՆ ԵՎ ՀԱՏՄԱՆ ՀԱՎԱՆԱԿԱՆՈՒԹՅՈՒՆԸ

A {2, 4, 6, 8 10}

B {2, 3, 5, 7}

ա) A U B = {2, 3, 4, 5, 6, 7, 8, 10}

բ) A Ո B = {2}

ա) 1/9

բ) 4/9

գ) 3/9 = 1/3

40 + 50 — 20 = 70

70/100 = 7/10 = 0.7

Պատ.՝ 0.7:

P(A) = 0.7 , P(B) = 0.26

0.7 + 0.26 = 0.96

11 + 12 + 7 — 24 = 30 — 24 = 6

6/24 = 1/4 = 0.25

80 + 70 — 100 = 150 — 100 = 50 %

100 — 79 = 21

15 + 9 = 24

24 — 21 = 3 %

A {1, 10, 11, 20, 21, 30, 31, 40, 41, 50, 51, 60, 61, 70, 71, 80, 81, 90, 91, 100}

B {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

C {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99}

ա) P(A) = 20/100 = 1/5 = 0.2

P(B) = 25/100 = 1/4 = 0.25

P(C) = 33/100 = 0.33

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բ) A Ո B = {11, 31, 41, 61, 71}

P(A Ո B) = 5/100 = 0.05

A Ո C = {21, 30, 51, 60, 81, 90}

P(A Ո C) = 6/100 = 0.06

B Ո C = {3}

P(B Ո C) = 1/100 = 0.01

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գ) (A Ս B) = {1, 2, 3, 5, 7, 10, 11, 13, 17, 19, 20, 21, 23, 29, 30, 31, 37, 40, 41, 43, 47, 50, 51, 53, 59, 60, 61, 67, 70, 71, 73, 79, 80, 81, 83, 89, 90, 91, 97, 100}

P(A Ս B) = 40/100 = 4/10 = 0.4

(A Ս C) = {1, 3, 6, 9, 10, 11, 12, 15, 18, 20, 21, 24, 27, 30, 31, 33, 36, 39, 40, 41, 42, 45, 48, 50, 51, 54, 57, 60, 61, 63, 66, 69, 70, 71, 72, 75, 78, 80, 81, 84, 87, 90, 91, 93, 96, 99,100}

P(A Ս C) = 47/100 = 0.47

(B U C) = B {2, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, 18, 19, 21, 23, 24, 27, 29, 30, 31, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63, 66, 67, 69, 71, 72, 73, 75, 78, 79, 81, 83, 84, 87, 89, 90, 93, 96, 97, 99}

P(B Ս C) = 57/100 = 0.57