Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that [tex]D = 1[/tex]
Total outcomes:
Arrangments of 5 people, so
[tex]T = A_{5} = 5! = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{120} = 0.0083[/tex]
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
