A student solves the multiplication problem correctly.
2 answers:
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Answer:
and
Step-by-step explanation:
Given that and
, the parametric equations are obtained by algebraic means:
1) Given
2) Given
3) Associative and modulative properties
4) Existence of multiplicative inverse/Commutative property
5) Associative property
6)
/
7) Modulative property
8) Existence of additive inverse
9) Associative and commutative properties
10) Distributive property
11)
12) By 1)
13)
/Result
14) Compatibility with addition
15) Compatibility with addition
16) Associative property
17) Associative property
18) Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is and
.
Answer:
Step-by-step explanation:
Given : A pair of fair dice is rolled, If the sum of the spots is 7.
To find : Determine the probability that one die showed a 2 ?
Solution :
A pair of fair dice is rolled the outcomes are,
(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 sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).
Total possibility = 6
Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2
The probability that one die showed a 2 is given by,