Probability_Problems Based on CARDS#LESSON-4

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The lesson covers probability problems related to a standard deck of 52 cards, explaining card colors, shapes, and face cards. It provides examples of calculating probabilities for various scenarios, such as drawing black cards, specific cards like Ace of Spades, and combinations of red cards or Kings, emphasizing practice for mastery.


Key moments:
00:17 Understanding the structure of a standard deck of cards is essential for solving probability problems. A standard deck contains 52 cards, divided into two colors and four suits.
-A standard deck consists of 26 red cards and 26 black cards, emphasizing the balance between the two colors. This division is crucial for calculating probabilities.
-Each of the four suits—diamonds, hearts, clubs, and spades—contains 13 cards. Knowing the distribution within suits aids in understanding card probabilities.
-Face cards, which include Kings, Queens, and Jacks, are significant in card games. There are a total of 16 face cards in a deck.
02:31 Understanding probability is crucial when drawing cards from a deck. The calculations involve determining favorable outcomes and total possibilities to find the desired probability.
-The probability of drawing a black card involves calculating the total number of black cards in a deck of 52. There are 26 black cards overall, resulting in a probability of 1/2.
-Using the formula for probability, favorable outcomes are divided by total possibilities. This method applies universally to various probability questions involving cards.
-Finding the probability of drawing specific cards like the Ace of Spades or Jack of Diamonds requires counting unique cards. The total favorable outcomes are just 2 out of 52.
04:49 The probability of drawing a specific card from a deck can be calculated using the formula for probability, which is the sum of favorable outcomes divided by total possibilities. In this case, the challenge is to find the probability of drawing either a red card or a king from a standard 52-card deck.
-Understanding the total number of cards and their colors is crucial for calculating probabilities. There are 26 red cards and 26 black cards in a standard deck.
-The total number of kings in a deck is four, but when calculating probabilities for specific scenarios, some kings may already be accounted for within the colored cards.
-To find the correct probability, it is important to adjust the total based on any previously counted cards, ensuring that the numerator accurately reflects the remaining options.
07:09 The video explains basic probability concepts using examples from a deck of cards. It illustrates how to calculate the probability of drawing specific cards from a shuffled deck.
-The probability of drawing an Ace from a standard deck is calculated as 4 favorable outcomes over 52 total cards, resulting in 1/13. This method highlights basic probability principles.
-Similar calculations are shown for drawing a Club card, where there are 13 Clubs in a deck, leading to a probability of 1/4. This reinforces understanding of favorable outcomes.
-The video also covers the probability of drawing a Red Queen, emphasizing the importance of identifying specific card characteristics. This example further enhances the comprehension of probability.
09:28 The video discusses calculating probabilities related to drawing specific cards from a standard deck of 52 cards. It emphasizes understanding the total possibilities and favorable outcomes for accurate probability determination.
-The video explains how to determine the probability of drawing a red Queen from a pack of cards, focusing on the favorable outcomes. The calculation leads to a probability of 1 divided by 26.
-Another example illustrates finding the probability of drawing either a King or a Spade, combining the counts of favorable outcomes. The final probability is simplified to 4 divided by 13.
-The concept of combining probabilities is reiterated with the question of drawing either a Heart or a King, demonstrating consistent methods. The approach remains on identifying total cards and specific outcomes.
11:49 Understanding card probability is essential for solving related questions effectively. The video demonstrates practical applications through eight different questions focused on this concept.
-The video explains the probability of drawing Kings from a deck of cards, emphasizing the importance of knowing the remaining cards. This knowledge aids in calculating odds accurately.
-Practicing a variety of card-related problems is crucial for mastering this concept. The recommendation is to work on at least 20 to 30 questions for better understanding.
-The video highlights how the concept of drawing multiple cards can be expanded in future lessons. This will enhance viewers' skills in tackling more complex probability questions.

v.s.arifulla
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If we want to be strong in our basics ur class is the one and only the best class sir 👌👌

moulika
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Thank you soooo much I din't imagine in my life that I will
learn this cards topic in probability, because I felt that which is very Sir finally you have taught me to make understand this topic in easiest I will not forget your help sir God Bless You...

pavanashreeng
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sir you teach us concepts in very well manner, but please take some difficult examples while teaching because these type of easy questions wont be their in an i request you to include examples according to the level and difficulty of actual examination

aadeshdixit
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Your explanation is very understandable even a common man also . Thank you sir

hareeshmedapuram
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Feel like am in class room. That much influence me sir.

lehareeshsureddy
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At some point I felt like he's teaching me poker.

mygoogleaccount
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Simple and clear explanation and easy to follow. Watching in 2024 to prepare for my NIFT pg entrance. Grateful to have found your channel n I bless you to achieve whatever good things you wish for 🤗

shifanatk
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Super sir your teaching is very beautiful and I can understand very well.
Thanks for teaching us👍🏻👍👍

dheveshc
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Sooo blessed to find your channel 🙏🙏⭐⭐⭐⭐⭐

garimasaini
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Thnx brother u made my journey of opsc very easy I'm frm odisha Ihad in doubts in reason n math u helped me alot thxx

soumyashreepradhan
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Thanks for providing clear and easy method of understanding.

RajKumar-vmkr
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your way of teaching and speaking is beautiful mashallah

asifali-lbvs
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There's a mistake sir. Only 3 face cards are there in each category. Some say honor cards contain 10 also but no they don't. Honor cards means 4 cards Ace along with Face. 10 is a numbered card.

rowdyghatkar
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Very nice sir... thankyou so much for you efforts.❤️

amanagrahari
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thank you sir sending such a nice material.please give more problems with different difficulty level.

pamulakshmi
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Sir please come up with more videos sir...like 2 cards, 3 cards

tushar
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At the beginning of this video I think that it is not very fruitful for me....
But at the
This is ...
East and West this video is best..
At the end
..
Affection is always greater than perfection

mdnadeemraja
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Please make a video about boats and streams sir as early as possible your way of telling is awesome sir

vasantalasunilkumar
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at 2:07 you said wrong sir, we only have 12 face cards, ace is not a face card, only (king, queen and jack) are face check

varunakuthota