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Daniel [21]
2 years ago
9

Two dice are rolled. Find the probability of getting a. A sum of 5, 6, or 7 b. Doubles or a sum of 6 or 8 c. A sum greater than

8 or less than 3 d. Based on the answers to parts a, b, and c, which is least likely to occur
Mathematics
1 answer:
dimaraw [331]2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1      1,2      1,3     1,4      1,5     1,6

2,1     2,2     2,3    2,4     2,5    2,6

3,1     3,2     3,3    3,4      3,5    3,6

4,1     4,2     4,3     4,4     4,5     4,6

5,1     5,2     5,3     5,4     5,5     5,6

6,1     6,2     6,3     6,4     6,5     6,6

The total number of outcomes = 36

a)

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

b)

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

c)

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.

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Answer:

Answer "C"

Step-by-step explanation:

I believe this because it would not make sense to compare the already known equation to the unknown equation and does make sense to compare the unknown equation to the known equation

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2 years ago
Is it possible to draw a triangle with these measurements 90° 60° and 60°
lina2011 [118]

Answer:

No

Step-by-step explanation:

The angles of a triangle must always add up to 180 degrees.

90 + 60 + 60 = 210 degrees.

Therefore it would not be possible to draw a triangle with these values.

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Find the missing angels in the parallelogram
krek1111 [17]

Answer:

m<B = 60°

m<C = 60°

m<F = 80°

m<G = 80°

Step-by-step explanation:

m<B = 180° - 120° = 60°

m<C = m<B = 60° (Vertically opposite angles are equal)

m<F = 180° - (40° + m<C(60°)) = 80°

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6 0
3 years ago
1. Define sets
Rudik [331]

Answer:

  • Set is a collection of specified object.
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Infinite Set. A set which contains infinite number of elements is called an infinite set. ...

Subset. ...

Proper Subset. ...

Universal Set. ...

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Singleton Set or Unit Set. ...

Equal Set.

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4 0
2 years ago
John and Andrew have £3.40 between them. John has £1.20 more than Andrew. John has £u and Andrew £v
Dahasolnce [82]
In the given question, there are several information's of immense importance and they can be used to find the necessary answers. It is already given that John and Andrew have 3.40 pound together. It is also given that John has 1.20 pound more than Andrew. It is also assumed that John has"u" pound and Andrew has "v" pounds.
Then we can write the two equations as
u + v = 3.40
u = v + 1.20
To find the values of u and v, we can replace the u in the first equation with the value of u in the second equation. Then
u + v = 3.40
(v + 1.20) + v = 3.40
2v + 1.20 = 3.40
2v = 3.40 - 1.20
2v = 2.2
v = 2.2/2
  = 1.1
Now we replace the value of v in the first equation to find the value of u.
 u + v = 3.40
u + 1.1 = 3.40
u = 3.40 - 1.1
u = 2.3
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