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. Identify which situations illustrate permutation and which illustrate combinations. Determining the top three winners in a Science Quiz Bee Forming lines from six given points with no three of which are collinear Forming triangles from 7 given points with no three of which are collinear Four people posing for pictures Assembling a jigsaw puzzle Choosing 2 household chores to do before dinner Selecting 5 basketball players out of 10 team members for the different positions Choosing three of your classmates to attend your party Picking 6 balls from a basket of 12 balls Forming a committee of 5 members from 20 people Answer each combination problem completely. Show your solution. (3pts) How many different sets of 5 cards each can be formed from a standard deck of 52 cards? In how many ways can a committee consisting of 10 members be formed from 15 people? In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be 4 seniors in the committee?
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.
- 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.
- Identify which situations illustrate permutation and which illustrate combinations.
-
- Determining the top three winners in a Science Quiz Bee
- Forming lines from six given points with no three of which are collinear
- Forming triangles from 7 given points with no three of which are collinear
- Four people posing for pictures
- Assembling a jigsaw puzzle
- Choosing 2 household chores to do before dinner
- Selecting 5 basketball players out of 10 team members for the different positions
- Choosing three of your classmates to attend your party
- Picking 6 balls from a basket of 12 balls
- Forming a committee of 5 members from 20 people
- Answer each combination problem completely. Show your solution. (3pts)
-
- How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
- In how many ways can a committee consisting of 10 members be formed from 15 people?
- In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be 4 seniors in the committee?
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