Compound Probability of Independent Events - Coins & 52 Playing Cards

This video tutorial provides a basic introduction into calculating the compound probability of independent events. It contains examples on flipping coins and a standard 52 playing card deck.
Introduction to Probability: • Introduction to Probab...
Probability Formulas:
• Probability Formulas, ...
Probability Explained:
• Probability Explained!
Probability With Geometry:
• Probability With Geome...
Probability of Complementary Events:
• Probability of Complem...
Conditional Probability:
• Conditional Probabilit...
__________________________________
Independent and Dependent Events:
• Probability - Independ...
Probability of Mutual Exclusive Events:
• Probability of Mutuall...
Multiplication and Addition Rule:
• Multiplication & Addit...
Compound Probability:
• Compound Probability o...
Expected Value:
• How To Calculate Expec...
Probability Tree Diagrams:
• Probability Tree Diagrams
___________________________________
Bayes Theorem:
• Bayes' Theorem of Prob...
Probability - Binomial Distribution:
• Finding The Probabilit...
Probability - Geometric Distribution:
• Geometric Distribution...
Probability - Poisson Distribution:
• Introduction to Poisso...
Continuous Probability Distributions:
• Continuous Probability...
Probability Density Functions:
• Cumulative Distributio...
__________________________________
Probability - Uniform Distributions:
• Continuous Probability...
Probability - Exponential Distributions:
• Probability Exponentia...
Probability - Normal Distributions (Calculus):
• Normal Distribution & ...
Probability - Standard Normal Distributions:
• Standard Normal Distri...
Probability - The Law of Large Numbers:
• Law of Large Numbers
___________________________________
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/mGe5fGWMhbKLhKs Final Exams and Video Playlists: www.video-tutor.net/

[@rokk7136]

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[@Shreya-vz9ei]

teaching me chem rn 😭

[@bondoasanidze9169]

where I can find calculus 1, 2 and 3 by this lecture?

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[@foxillicPVP]

You’re really coming in clutch with these stats videos as i have an exam tomorrow. Also thank you so much for your ochem videos, i currently have the highest grade in my second semester ochem course thanks to you. (: you also carried me through calc2 and i got an A lol

[@rohanbangash5827]

yo if you know how to do this can u please help me. . "Determine the equations of the tangent line(s) to the curve x^2-xy+y^2=9 at the points where the curve intersects the x axis". I already did the derivative using chain rule, I just dont understand how to find the points where the curve intersects at the x axis. I just figured if you aced calc 2 you could help me lmao

[@foxillicPVP]

I took it two semesters ago dude, i forgot everything lol

[@foxillicPVP]

I wish i could help you cause it all sounds familiar but i’ve forgotten

[@foxillicPVP]

Slader helped me a lot. Go on google and type in Slader and look for your calc book.

[@rohanbangash5827]

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[@koyvu73]

Great video. Clear explanation and easy to follow. Easily helped to solve an argument that we were having in class.

[@theriskengineer4307]

This was a very good instructional video. The refresher on fractional math was very helpful!

[@md.nurulislam5446]

Thank you sir. May the Almighty reward you the best for your good deeds.

[@benjiebenjy4949]

Wow .. I just can't stop loving your teachings

[@sidechain0]

For the final card problem, I just did 2/52 * 12.5/51, because the first event reduces the sample space of possible diamond cards by 0.5 and the sample space of total cards by 1.

[@howTo_79]

nice man

[@alejandropianist6466]

why does it reduce the sample space by 0.5 pls explain!!!

[@felixarsene9510]

I am so grateful for this free course I had this teacher He gave these obvious example of dependent event and independent event Dependent = event of coin to coin Independent = event of cards and coin 😑

[@charlottetawiah526]

Thank you very much for the step by step explanation. I have now gotten the concept.

[@brynleyisdumb]

Thank you so much 😭 have a unique situation and I have to cram a whole school year of math into 2 days and ur coming in clutch, thank you. (I'm homeschooled and I use a really known to be strict curriculum)

[@p3t3rparque63]

Thanks a lot you're the best!! Have a nice day !!

[@sanahnahk7312]

Thank you very much to making it so simple !

[@velvetrose2726]

❤you are so much better at explaining than my lecturer😊

[@joanarodriguez9142]

Thank you so much I really love your videos they help me SO much!!

[@Sk-fs9jl]

Sweet moment when the always perfect our tutor takes extra trys drawing the club

[@1mdBest]

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Simp

[@vgamzingnet2562]

Bro changing lives.

[@b.f.skinner4383]

Great content, but perhaps the prompt omitted the words Red King 'of Diamonds' on C, which might throw some people off who enjoy pausing the video and tackling the problem before you walk through it): There are 2 red kings in the deck (King of Hearts and King of Diamonds), so the probability of selecting a red king on the first try is 2/52 not 1/52.

[@Lisi_Mxo]

My lecturer + Course book = Even more confusion. You'd swear my lecturer is tryna cast a spell. Thank you for the clear explanation.

[@yogeshbaby9260]

thank you so much sir and good morning

[@dumbidiot7183]

thank you so much

[@scottw7472]

For part c problem 1 is there a way to solve the answer arithmitically without writing out the sample space?

[@dimitriysevryukov1629]

Thank you very much !

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[@woozihae]

This man's my literal savior lol.

[@bidxask4666]

isnt there an easier way than figuring that out with out manually counting every possibility? like a short hand way to just multiply it out right away?

[@user-kp8ux1uf1w]

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[@watchingvideosallday542]

I don't understand when do we just multiply the probabilities P(AB)=P(A)*P(B) and when we do the P(A and B)= P(A) + P(B) - A or B...can someone clarify. I'm stuck on it for two days :(

[@najahchamoun5170]

We multiply them when the two events are independent meaning they don't affect each others probability of success. The second equation is use in calculations of probability that involve unions ("or") and use add the subtraction part when thet arent mutually exclusive (meaning thr probability of one event overlaps with the other event or simly the intersect in the venn diagram)

[@ilakutagnes270]

Which software are you using for the culculation

[@hyx6817]

thanks

[@shiroldtgeises8291]

I need you for anatomy and physiology too🥺

[@potatotoes754]

For question c it says red king, not red king of hearts? So isn’t the probability 2/52•13/51? Because there are two red kings

[@RasickfareedSamhan]

the only thing I couldn't understand is P(A or B) = P(A) + P(B). this is only used for a mutually exclusive event, is this mutually exclusive? can you explain it to me, please?

[@aqilaiman2030]

gonna try flipping a coin everyday from now

[@mdavis3262]

What is the difference between a and c? In both questions order didnt matter? Why were they done differently? Thanks

[@frontback4574]

The last part c was hard 😥

[@betemariamyilma7254]

That was good

[@asmamushtaq7168]

Sir, I have a question: Probability of getting a black card greater than 3 and less than equal to 9: Since its already given as a black card, shouldn’t the sample space be just 26 cards and not 52?

[@radokk3267]

No. Because all cards are still included in the set. So it is still divided by 52

[@natasha255]

Compare two questions: 1) What is the probability of selecting a black card that is greater than 3 but less than or equal to 9? and 2) What is the probability that the selected black card is greater than 3 but less than or equal to 9? In the first case, you can select the red card too. In the second case, you know you have selected the black card, so you can say "given that the card is black".

[@poisonjade1]

Roses are red Violets are blue . . . . . . . . . . . Stop reading the comments . . You've got studying to do

[@tasneem6427]

😭😭😭😭😭😭

[@endrode6958]

mistake at 14:13, it should be 2/52 for the prbability of red kings, not 1/52

[@victoriaantwi9047]

Pls try n increase the font size of the questions for us pls

[@kabijoshi5949]

can you save time using a calculator?

[@luanmirza5224]

The number 2 letter c is complicated. Who else make a hard time understanding it?

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[@nodelc_samet]

Good

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I just interviewed for a Data Scientist role today and the interviewer literally asked me the first question.

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We take it, it went well?

[@user-ls9hj4wm3i]

❤❤❤

[@kcsid]

2 Hours before exam 🫂😂

[@saki7952]

The 2nd problem is difficults the cards!

[@ahsanAli-ou6xe]

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[@elizabethlukonde5589]

On the second question for the black cards, why didn't we use the total of the black cards which is 26 instead we used the total of all the cards?

[@zipzap6783]

Because we are calculating the probability of choosing a black card greater than 3 but less than or equal to 9 in an entire deck of 52 cards. Had the question asked what is the probability of choosing a black card greater than 3 but less than or equal to 9 if you are choosing only from the black cards, then it would be 12/26.

[@ropafadzoandewa2177]

For item b why did we put the probability out of 52 and not 26 since its black cards

[@statatsicsics9365]

5:00

[@kyahade1007]

DB boys where u at?

[@vividusername6582]

What's the probability ill pass this exam?

[@beanieman7138]

Probability will be your likes out of all replies

[@Firefly256]

@@beanieman7138 so 400%

[@beanieman7138]

@@Firefly256 No its 133%

[@Firefly256]

@@beanieman7138 just made it 125%

[@dekumidoriya7583]

0%

[@adedejifiyinfoluwa1355]

I don't understand this King, Diamond, and the likes of a thing.... maybe because I don't play the cards Someone should please help

[@awaisnawaz2791]

wait, isnt P(A or B) = P(A) + P(B) - P(A intersection B) ??

[@mesmerizingindulgent8924]

What do u mean

[@matthewoneill6181]

Love the video. Very well explained. But please... Just king of hearts or king of diamonds. Not: "red kind of hearts/diamonds" Hella tilting Nice video though

[@Fedreal_Bureau_Of_Investigaton]

Shouldn't be P(D/rk) in the last problem at 16:09? Since it is the probability of getting a diamond card given before you picked a red king and not the other way around

[@akonwiebrayan2524]

Exactly. 😩😫

[@bastidavid1343]

I was searching for this comment for sooo long! hahaha

[@arcstrider5728]

👏

[@jesusye538]

👏👏👏👏👏

[@ahmedfarid8691]

the probability of getting twice heads after flipping one coin is 1/4!, how?. why not z. A coin has a heads and a tails. How 1/4?. after flipping two times, it's 1/4 not one time

[@enamulislam.meraj1120]

i exactly have the same question here. i guess it should be zero.

[@owaowabarkbarkbark2996]

This is so confusing to me-

[@scattered9brain]

🥺🥺🥺🥺🥺🥺🥺🥺

[@synbax8762]

Question 1 doesn't make sense it says 2 heads by flipping a coin. Singular meaning shouldn't it be 0% since you cant get 2 heads by flipping "a coin". This may be right or my sh*t English.

[@mayhair]

It is your sh*t English because you _can_ get two heads on a coin by flipping the same coin twice.

[@enamulislam.meraj1120]

@@mayhair it would have mentioned in the question if the coin was flipped twice like the second question.

[@mayhair]

@@enamulislam.meraj1120 I understand now.

[@enamulislam.meraj1120]

@@mayhair what do u understand now? Can u explain a little bit?

[@mayhair]

@@enamulislam.meraj1120 I understand what OP is saying.

[@moushumeemahmood6716]

😡