Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that he picks A first and B second?

A) 1/24 B) 1/6 C) ½ D) 1/12

Respuesta :

Answer:

D

Step-by-step explanation:

Given:

Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.

To find: probability that he picks A first and B second if he picks two at random

Solution:

Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]

Favourable outcomes are ABCD, ABDC

Number of favourable outcomes = 2

probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]

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