Direction: Given the following situations, find the theoretical and experimental probability that the event will occur. 1. A spinner was equally divided with colors violet, red, yellow and blue. The table below shows the number of times the color appears. Color No. of times it occur Blue (B) 4 Red (R) Yellow (Y) 8. Violet (V) 3. a) What is the theoretical probability that blue will occur? b) What is the experimental probability that blue will occur? c) What is the experimental probability that red will occur? d) What is the theoretical probability that yellow will occur? e) How many trials are there? 2. If a fair dice is rolled, the sample space is (1, 2, 3, 4, 5, and 6) a) What is the probability of getting an even number? b) What is the probability of getting number more than 6? Ditection: The table shows how many of each different size of a particular style of T-shirt were sold at one outlet last month. Find the probability that a T-shirt sold will be each size. Choose the letter of the correct answer below. (Answer must be in lowest term) Size Number Sold Extra Small 8. Small 12 Medium 20 15 Large Extra Large T. R. N. M Choices: 0. 4 2. 3. 30 12 15 Extra Small Small Medium Large Extra Large 115 1, 1/4
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.
Step by step
Solved in 4 steps with 3 images