Question

Use the table which shows the number of students who took theJuly 2012 California Bar Examination for the first time and the number of students who repeated the examen

First time Pass 4427

Failed 2058, Total 6485

Repeat 407, pfailed 1845, total 2252

Total 4834, 3903, 8737

a) find the propability that a student passed

c) find the propability that a student failed and the student took the exam for the first time

Answer 1

Solution :

Given Information:

N = 8737

	Passed	Failed	Total
First time	4427	2058	6485
Repeat	407	1845	2252
Total	4834	3903	8737

Defining the events:

A: A randomly selected student passed the examination.

C: A randomly selected student took the examination for the first time.

a)

The probability that a randomly selected student passed the examination is given by:

Hence, the probability that a randomly selected student passed the examination is 0.553279

c)

The probability that a student failed and the student took the examination for the first time' is given by:

Hence, the probability that a student failed and the student took the examination for the first time' is 0.23555.

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