Is it ever possible for an algorithm to fail?

Can you please also explain what are the differences between the two algorithms?

Suppose an algorithm requires 2n steps to complete a task for an input of size n. If the size of the input is doubled, what happens to the number of steps?     The number of steps for the larger input is equal to the number of steps for the original input.     The number of steps for the larger input is twice the number of steps for the original input.     The number of steps for the larger input is four times the number of steps for the original input.     The number of steps for the larger input is the square of the number of steps for the original input.     The number of steps for the larger input is more than the number of steps for the original input, but is none of the above.

Using Big O notation, if the complexity of an algorithm is O(n), this is pronounced as “order of n.”  True  False

In a science experiment, result X is expected to occur 25% of the time and result Y is expected to occur the remaining 75% of the time. The following code segment is intended to simulate the experiment if there are 100 trials. Line 1: xCount 0 Line 2: yCount ← 0 Line 3: REPEAT 100 TIMES Line 4: { Line 5: IF(RANDOM (1, 4) = 1) Line 6: { Line 7: xCountxCount + 1 Line 8: } Line 9: IF(RANDOM (1, 4) > 1) Line 10: { Line 11: yCountyCount + 1 Line 12: } Line 13: } Line 14: DISPLAY ("Result X occurred") Line 15: DISPLAY (xCount) Line 16: DISPLAY ("times and result Y occurred") Line 17: DISPLAY (yCount) Line 18: DISPLAY("times.") A programmer runs the code segment, and the following message is displayed. Result X occurred 24 times and result Y occurred 70 times. The result shows that 94 trials were counted, rather than the intended 100 trials. Which of the following changes to the code segment will ensure a correct simulation of the experiment? A Replacing line 9 with IF (RANDOM (1, 4) ≥ 2) B…