When you toss a coin once is considered a simple event. Sample space is the result of an experiment. Compound events consist of one simple event. A U B means the sum of all elements in set A and set B. Intersection of events means the event which common between two events.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
GRADE 10 MATHEMATICS
Quarter 3
Learning Activity Sheet No. 4
Activity Title : 1. True or False
- Intersection and union of Events/ Mutually Exclusive Events
and Not Mutually Exclusive Events
Learning Competency : Illustrates events, and union and intersection of events
Illustrate and find the probability of mutually exclusive events
- Direction: True or False. Tell whether the following statement is true or false.
- When you toss a coin once is considered a simple event.
- Sample space is the result of an experiment.
- Compound events consist of one simple event.
- A U B means the sum of all elements in set A and set B.
- Intersection of events means the event which common between two events.
- Direction: Consider the situation below and answer the questions that follow.
For 6-7. Refer to the Venn Diagram below about intersection and union of events.
- If a student is randomly chosen, what is the probability that the student participates only in athletics or band?
- If a student is randomly chosen, what is the probability that the student participates only in athletics and band?
- Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks one marble at random, what is the probability that he selects a red marble or a yellow marble?
- Find the probability of turning up an odd number or a number greater than 3 when rolling a die?
- What is the probability of a dice showing a 2 or 5?
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