By Yufeng Guo

The autumn 2013 variation of Guo's handbook for the 1st SOA/CAS actuarial examination P.

If you don't understand what that's, you most likely don't want this publication. when you do want it, I simply kept you $85. solid good fortune at the try out.

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Additional resources for Deeper Understanding, Faster Calculation—Exam P Insight and Shortcuts (Fall 2013 Edition)

Example text

Homework for you (from old Course 1 exams): #1 May 2000; #9 Nov 2001; #3 Nov 2000; #31 May 2001; #1 May 2003. aspx. com Chapter 6 Conditional Probability Often times we have partial information about an experiment. This partial information will change our calculation of probability. Example 1. We throw two dies and sum up the two numbers. We want to find out the probability that the sum is 8. The sample space is: (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) (1,2) (2,2) (3,2) (4,2) (5,2) (6,2) (1,3) (2,3) (3,3) (4,3) (5,3) (6,3) (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) (1,5) (2,5) (3,5) (4,5) (5,5) (6,5) (1,6) (2,6) (3,6) (4,6) (5,6) (6,6) Of the above 36 outcomes, 5 outcomes (blue numbers) give us a sum of 8.

Permutations if each ball is distinct. However, we have identical balls and we need to remove the permutations by these identical balls. So r1 balls are identical and have r1 ! permutations; r2 balls are identical and have r2 ! permutations. … rk balls are identical and have rk ! permutations. Thus, we need to divide n ! rk ! to get the distinct number of permutations. rk )! n! rk ! rk ! Example. You are using six letters A, A, A, B, B, C to form a six-letter symbol. How many distinct symbols can you create?

Not very likely. It takes too much work for you to solve it. It takes too much work for SOA to write this question and come up with an answer too. However, if this kind of difficult problem does show up, you will probably want to skip it and focus on easier problems, unless your goal is to score a 10. How to tackle the problem in 3 minutes There are 2 approaches to “sort out who did what” – the formula-driven approach and the common sense approach. You might want to familiarize yourself with both approaches and choose one that you like better.

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Deeper Understanding, Faster Calculation—Exam P Insight and Shortcuts (Fall 2013 Edition) by Yufeng Guo


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