P(2 or H) = P(2) + P(H) - P(2 and H)
What is the probability of getting a 2 P(2)? = 1/6
What is the probability of getting heads P(H)? = 1/2
P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12
P(2 or H) = P(2) + P(H) - P(2 and H)
P(2 or H) = 1/6 + 1/2 - 1/12 = 7/12
Answer:
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Step-by-step explanation:
YES IT IS RIGHT.YOU ARE RIGHT
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
5a + 15 = 24b so,
10a + 30 = 48b,
sub to third equation,
10a + 30 + 35c = 49
10a + 35c = 19
perform elimination with second equation
10a + 45c = 21
10a + 35c = 19
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10c = 2
c = 1/5
sub to second equation,
10a + (45)(1/5) = 21
10a + 9 = 21
10a = 12
a = 6/5
sub to first equation
(5)(6/5) - 24b = -15
6 + 15 = 24b
21 = 24b
b = 7/8
redo the calculations, correct me if I'm wrong
