Using a Venn diagram to understand the addition rule for... The Venn diagram below shows the 12 students in Ms. Martin's class. The diagram shows the memberships for the Science Club and the Spanish Club. Science Spanish Note that "Aldo" is outside the circles since he is not a member of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Science Club." Goran Ivanna Carlos Let B denote the event "the student is in the Spanish Club." Frank Tammy Susan Keith Rachel Answer each part below. If necessary, consult a list of formulas. Melissa Josh Mary Aldo (a) Find the probabilities of the events below. Write each answer as a single fraction. P(4) = ] P(B) = [ P(4 or B) =1 P(A and B) = ] Explanation Check 02021 McGraw-Hill Education, All Rights Reserved. Terms olo
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.
![Using a Venn diagram to understand the addition rule for...
(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(4) = I
P(B) = ]
P(4 or B) = ]
P(4 and B) = ]
P(4) - P(B) – P(4 and B) = ]
(b) Select the probability that is equal to P(4)-P(B)-P(A and B).
OP(A and B)
OP(4 or B)
OP(4)
OP(B)
Explanation
Check
©2021 McGraw-Hil Educatio
olo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f9e4cd1-015a-4a96-a677-2fe562598422%2F7a2a7013-be7f-4e5e-a6fd-1c2350f16c5c%2Fpyj5r7_processed.jpeg&w=3840&q=75)
![O PROBABILITY
Using a Venn diagram to understand the addition rule for...
The Venn diagram below shows the 12 students in Ms. Martin's class.
The diagram shows the memberships for the Science Club and the Spanish Club.
Science
Spanish
Note that "Aldo" is outside the circles since he is not a member of either club.
One student from the class is randomly selected.
Let A denote the event "the student is in the Science Club."
Goran
Ivanna
Carlos
Let B denote the event "the student is in the Spanish Club.".
Frank
Tammy
Susan
Keith
Rachel
Answer each part below. If necessary, consult a list of formulas.
Melissa
Josh
Mary
Aldo
(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(4) = [
P(B) = ]
P(4 or B) = ]
P(A and B) = ]
Explanation
Check
©2021 McGraw-Hill Education. All Rights Reserved. Terms of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f9e4cd1-015a-4a96-a677-2fe562598422%2F7a2a7013-be7f-4e5e-a6fd-1c2350f16c5c%2F5jz3eo_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
