Answer:
Probability of getting at least one 2 equals 0.5177
Step-by-step explanation:
The probability of at least one success is

where,
'p' is probability of success of 1 trail
'n' is number of events
We have probability of getting 2 is 1/6 thus 'p' = 1/6
Applying values we get

Answer:
x=4
Step-by-step explanation:
3x + 6 = 18
3x = 18 - 6 = 12
x = 4
Answer:
a. 24
b. 2
c. 0.0833 = 8.33%
Step-by-step explanation:
a.
The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.
So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive
b.
If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2
c.
If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%
Answer:
Linear: The first and third one. (0,5) & (1,1)
Exponential: The second one (above). (-2, 1/16)
Quadratic function: The last one (below). (-3,35)
Step-by-step explanation: