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Example Marbles Drawn: Probability- 1 Video Lecture | UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making

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00:00 Probability problem - marbles are drawn (both red)
00:32 Understanding the problem
00:55 Scenario 1 - pick one marble after the other
01:54 Scenario 2 - pick - replace - pick
03:06 Probability using permutations & combinations
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FAQs on Example Marbles Drawn: Probability- 1 Video Lecture - UPSC Prelims Paper 2 CSAT - Quant, Verbal & Decision Making

1. What is the basic concept of probability in the context of drawing marbles?
Ans. Probability is a measure of how likely an event is to occur. In the context of drawing marbles, it is calculated as the number of favorable outcomes divided by the total number of possible outcomes. For example, if you have a bag with 3 red marbles and 2 blue marbles, the probability of drawing a red marble is 3 out of 5.
2. How do you calculate the probability of drawing two marbles of the same color?
Ans. To calculate the probability of drawing two marbles of the same color, first determine the total number of ways to choose 2 marbles from the total amount. Then, calculate the number of ways to choose 2 marbles of the same color. Finally, divide the number of ways to choose 2 marbles of the same color by the total ways to choose 2 marbles.
3. What is the importance of understanding probability in bank exams?
Ans. Understanding probability is crucial in bank exams as it often forms a part of the quantitative aptitude section. It helps candidates solve problems related to risk assessment, decision making, and predicting outcomes, which are essential skills in the banking sector.
4. Can you explain the concept of conditional probability with an example related to marbles?
Ans. Conditional probability refers to the probability of an event occurring given that another event has already occurred. For example, if you have a bag with 4 red marbles and 6 blue marbles, and you draw one marble and it is blue, the conditional probability of drawing a red marble next (without replacement) is now 4 out of 9, since one blue marble has already been removed.
5. What are some common mistakes to avoid while solving probability problems in bank exams?
Ans. Common mistakes include miscalculating the total number of outcomes, forgetting to account for replacement or non-replacement of items, and confusing independent events with dependent events. It's crucial to carefully analyze the problem and ensure all factors are considered before arriving at a conclusion.
67 videos|50 docs|151 tests
Video Timeline
Video Timeline
arrow
00:00 Probability problem - marbles are drawn (both red)
00:32 Understanding the problem
00:55 Scenario 1 - pick one marble after the other
01:54 Scenario 2 - pick - replace - pick
03:06 Probability using permutations & combinations
More
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