Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.



Substitute this value in equation (1).



The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.
Answer:
The probability of getting two heads and a four is 1/24
Step-by-step explanation:
The probability of getting a head upon a single toss of a coin, assuming the coin is fair is 1/2.
The probability of getting two heads upon tossing two coins together will simply be the product of the individual probabilities;
P (HH) = 1/2 * 1/2 = 1/4
On the other hand, the probability of getting a four upon rolling a six sided number cube is;
1/6
This is because the number 4 occurs only once in a total possible of 6 numbers.
Therefore, the probability of getting two heads and a four;
P (HH4) = 1/2 * 1/2 * 1/6 = 1/24 since the three events are independent.