There is no entrance exam for CA. There are 3 phases and they are:

CA Foundation

CA Intermediate

CA Final

CA Foundation:

There are 4 papers in this exam and to be qualified its important to pass in all the papers with a minimum aggregate of 40% individually and a total aggregate of 50%. 2 papers are Objective type and 2 papers are Subjective type with negative marking for 2 papers. The subjects are Principles and Practises of Accounting, Business alaw & Business Correspondence and Reporting, Business Mathematics & Logical reasoning and Statistics, Business Economics & Business Commercial and Knowledge. For example, the score should be 40/40/40/40 in every subject and 50% overall.

CA Intermediate:

The subjects are divided into 2 groups. Group 1 has Accounting, Corporate Laws and other Laws, Cost and Management Accounting, Taxation. Group 2 has Advanced Accounting, Auditing and Assurance Enterprise Informations Systems and Strategic Management  and Financial Management and Economics for Finance.

CA Final:

The Chartered Accountants Final Exam has 2 groups namely Group 1 and Group 2. Group 1 has Fiancial Reporting, Strategic Financial Management, Advanced Auditing and Professional Ethics, Corporate and Allied Laws. Group 2 has Advanced Management Accounting, Information Systems Control and Audit, Direct Tax Laws and Indirect Tax Laws.

To calculate the probability of an event,

P(A)= No.of  Favourable outcome/Total no.of Favourable outcomes

or you can also use:

P(A)=n(A)/n(S)

where P(A) is the probability of an event

n(A) is the no.of favourable outcomes

n(s) is the total no.of events in the simple space

But for Business Mathematics, you might need few formula:

Probability Range    0 ≤ P(A) ≤ 1

Rule of Addition    P(A∪B) = P(A) + P(B) – P(A∩B)

Rule of Complementary Events    P(A’) + P(A) = 1

Disjoint Events    P(A∩B) = 0

Independent Events    P(A∩B) = P(A) ⋅ P(B)

Conditional Probability    P(A | B) = P(A∩B) / P(B)

Bayes Formula    P(A | B) = P(B | A) ⋅ P(A) / P(B)