A class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are female and non-Caviteno; 2 are male and non-Caviteno A name is randomly selected from the class roster and it is female. What is the probability that the student is a Caviteno?
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.
Problem 1:
A class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are female and non-Caviteno; 2 are male and non-Caviteno
A name is randomly selected from the class roster and it is female. What is the probability that the student is a Caviteno?
Problem 2:
If you score 85 or better on your midterm exam, then you have a 90% chance of getting 1.50 for the course. And you feel you have a 50% chance of scoring 85% or better. Find the probability that both your score is 85 or better and you receive an 1.50 in the course.
Problem 3:
A ten-peso coin is flipped twice. Calculate the probability of each of the following occurring:
- A head on the first flip
- A tail on the second flip given that the first toss was head
- Two tails
- A tail on the fist and a head on the second
- A tail on the first and a head on the second or a head on the first and a tail on the second
- At least one head on the two flips
Problem 4:
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. What is the probability of:
- A white chip on the first draw?
- A white chip on the fist draw and a red on the second d?
- Two green chips being drawn?
- A red chip on the second, given that a white chip was drawn on the first?
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