Independent Events Example ​(SOA Exam P - Probability - General Probability Module)

[@morningrosie3684]

I love your little number rant at the end, lol. That was awesome. Sounds like my brain when I'm in the middle of English class.

[@hitm43]

Easier solution: We know P(C) = 2P(D) based on the problem description and 0.15= P(C)*P(D) since the events are independent. If we substitute, we get 0.15=2P(D)*P(D). Solve for P(D) to get 0.2739 and therefore double is 0.5477 for P(C). Then find P(C' and D') by multiplying the complements of C and D.

[@gnitsaf]

I have been attempting the examples before you go over them. P(A intersect B) = P(A) * P(B) 0.15 = 2x * x 0.15 = 2x^2 0.075 = x^2 sqrt(0.075) = x P(not (A or B)) = 1 - (2(sqrt(0.075))+sqrt(0.075)-0.15) Which came out to 0.328... As I look over your way versus how I did it, your way feels very similar to dimensional analysis. hmmm...

[@HoangNguyen-yb9ki]

Your lectures are great. I’m considering buying the SOA package of AnalystPrep. But there’s only videos of 1 out of 3 exams in that package. Could you please tell me when will you make all videos of the 3 exams available on your package? I would be happy to pay a much higher price for the package that provide videos for all exams. Professor Stephen Paris and Professor James Forjan, I’m a big fan of both of you. Wish you best!

[@analystprep]

Hi. For SOA exams, we're currently building video lectures for exam P. You may see the first few on here for free: kzbin.info/www/bejne/l3vXfmmHfd-lfdk&ab_channel=AnalystPrep As far as exam IFM, we won't be doing video lectures since the exam is going away late 2022. You may, however, find a lot of the information for this exam in our CFA L1 playlist (mostly portfolio management) and FRM Part I playlist (mostly books 1, 3 and 4). I hope this helps. You may contact us at [e-mail] if you have any questions and we could do a package deal to include some of those CFA and FRM videos into your package.

[@HoangNguyen-yb9ki]

@@analystprep I watched 8/10 videos on exam P in 2days, only 2 videos on Bayes left, great stuffs. I’m glad that you guys will keep working on SOA. I studied FRM but the Quant materials is not enough for me (e.g Weibull, Frechet is not detail enough). I will contact you on your website. I hope that in the future You guys can make videos about multi variable and vector calculus, differential equation, stochastic calculus and mathematical statistic. I understand that the demand side might be not enough yet, just hope.

[@chillbro6142]

Hi. I know this video is 2 years old, but I hope you respond. If not, it’s fine. I’m learning from your videos and I’m sooo grateful for them so far. In November, at least 100+ questions got added to the practice exams. Do you think your videos still cover those types of questions or are they new topics?

[@WEEBER13]

Awesome

[@maamounabdallah1040]

The probability that a passenger is chosen for customs inspection is 10 %. Emma and Michael go through customs. What is the probability that neither of them is chosen for inspection? The probability of one passenger being chosen is independent of that of other passengers.

[@janethuffman4]

The probability that each one will not be chosen is .9 so the probability that they both would not be is .9*.9

[@WEEBER13]

Great story! 😂

[@analystprep]

Glad you enjoyed it!

[@kirenhinds9137]

Technically 2 isn't an even number because when divided by two it leaves one and thus is left whole not divided so...

[@joevanvaler392]

Are you saying that 2 is not an even number because it is an integer (namely, 1) when divided by 2? That is essentially the definition of "even number," as in, a number n is even if and only if n/2 is an integer. 2 is certainly an even number.