Basic Mathematics about Probability for CLASS 11

Summary:

In Class 11 Maths Chapter 16, it is important to remember various key points related to random experiments, elementary events, sample space, events, and outcomes. A random experiment refers to an experiment with unpredictable outcomes, while each outcome is called an elementary event. The sample space represents the set of all possible outcomes of a random experiment and is crucial for studying probability. An event is a subset of the sample space.

Different types of events exist, such as certain events that always occur, impossible events with no outcomes, simple events having multiple outcomes, and complementary events consisting of outcomes not corresponding to a specific event.

Now, considering a specific question, let’s calculate the probabilities involved. The problem involves drawing a hand of 7 cards from a well-shuffled deck comprising 52 cards. Two scenarios are considered:

(i) The probability of drawing all kings: Out of the 52 cards, there are only 4 kings. Using the binomial coefficient formula, we calculate the total number of combinations for selecting 7 cards. Specifically, we determine the number of combinations where all 4 kings are selected along with 3 other cards from the remaining 48. The probability is obtained by dividing the number of favorable outcomes by the total number of outcomes, resulting in 1/7735.

(ii) The probability of drawing 3 kings: Similar to the previous scenario, we calculate the number of combinations for selecting 3 kings and 4 other cards from the remaining 48. Applying the formula, we find that the probability of this event is 9/1547.

Excerpt:

Basic Mathematics about Probability

Points to Remember

I have provided some of the important points to remember for Class 11 Maths Chapter 16 to score the best in your exams:

• Random Experiment: An experiment whose outcomes cannot be predicted or determined in advance is called a random experiment. Random Experiment are randomly conducted which also receive a random answer
• Elementary event: Each outcome of a random experiment is known as an elementary event
• Sample Space: The set of all possible outcomes (elementary events) of a random experiment is called the sample space associated with it. Sample space is very important in terms of studying probability
• ….