1) Inside a large container there are 15 balls. Each ball has a number 1 through 15 printed on it. Other than the number printed on them the balls are identical. 3 of these balls are to be drawn at random from the container. You make a bet with a friend that you can predict which 3. You say the numbers 3, 7, and 12 will be drawn. What is the probability of this? To start think, What is the probability of a 3? How many 3s are in the container and how many total balls in the container? After you draw one ball out, how many are then in the container? Review the formulas found on page 29 of your Student In-Class Notebook.
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.
As per guidelines, we will only provide answer for first question, please repost the other questions to get the answer.
1)
Given information:
Total number of balls = 15
Number of balls to be drawn = 3
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
