Question

Abe, Bob, Carl, Dan and Earl are going to stand in line for a photo. What is the probability that the boys will stand in alphabetical order from left to right in the picture

Answer 1

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:

$A_{x} = x!$

Desired outcomes:

Standing in alphabetical order, so only 1 possible outcome, which means that $D = 1$

Total outcomes:

Arrangments of 5 people, so

$T = A_{5} = 5! = 120$

Probability:

$p = \frac{D}{T} = \frac{1}{120} = 0.0083$

0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture