1. If a die is rolled, find out the following:(i) The probability of getting an even number(ii) The probability of getting a 42. If two dice are rolled, then find out the following:(i) The probability that the sum is equal to 9(ii) The probability that the sum is equal to 7If a card is drawn at random from a pack of 52 cards, thenfind out the following:(1) P(Ace or Red)(ii) P(Non Black or Ace)3.4. A Jar contains 3 red, 4 green and 3 blue balls. If two balls arechosen at random from the Jar, Find out the following:(i) The probability that they are red or green.(ii) The probability that they are blue or red.5. If three coins are tossed, then find out the following-(i) Probability of getting two tails(ii) Probability of getting three heads6. Of the cars on a used car lot, 70% have CD player (CD) and 30%have air conditioning (AC). 10% of the cars have both.(i) What is the probability that a car has 'No AC', given that ithas 'CD'?(ii) What is the probability that a car has 'CD', given that it has'AC"?7. A fast-food restaurant has determined that the chance a customerwill order a soft drink is 0.90. The probability that a customerwill order a hamburger is 0.75. The probability that a customerwill order French fries is 0.35.If a customer places an order, what is the probability that theorder will include a hamburger and no soft drink if these twoevents are independent?8. 100 students were asked about the courses they like and here are theresults:CoursesFrequencyBusiness Statistics15Economics25Accounting40Finance20If a student is selected at random from the above group of 100,what is the probability that this person likes Economics?

1) If a Die is rolled, There are 6 outcomes 1,2,3,4,5 and 6 Each outcome has equal probability of…

1. If a die is rolled, find out the following: (i) The probability of getting an even number (ii) The probability of getting a 4 2. If two dice are rolled, then find out the following: (i) The probability that the sum is equal to 9 (ii) The probability that the sum is equal to 7

1. If a die is rolled, find out the following: (i) The probability of getting an even number (ii) The probability of getting a 4 2. If two dice are rolled, then find out the following: (i) The probability that the sum is equal to 9 (ii) The probability that the sum is equal to 7

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

100%

1. If a die is rolled, find out the following:
(i) The probability of getting an even number
(ii) The probability of getting a 4
2. If two dice are rolled, then find out the following:
(i) The probability that the sum is equal to 9
(ii) The probability that the sum is equal to 7
If a card is drawn at random from a pack of 52 cards, then
find out the following:
(1) P(Ace or Red)
(ii) P(Non Black or Ace)
3.
4. A Jar contains 3 red, 4 green and 3 blue balls. If two balls are
chosen at random from the Jar, Find out the following:
(i) The probability that they are red or green.
(ii) The probability that they are blue or red.
5. If three coins are tossed, then find out the following-
(i) Probability of getting two tails
(ii) Probability of getting three heads
6. Of the cars on a used car lot, 70% have CD player (CD) and 30%
have air conditioning (AC). 10% of the cars have both.
(i) What is the probability that a car has 'No AC', given that it
has 'CD'?
(ii) What is the probability that a car has 'CD', given that it has
'AC"?
7. A fast-food restaurant has determined that the chance a customer
will order a soft drink is 0.90. The probability that a customer
will order a hamburger is 0.75. The probability that a customer
will order French fries is 0.35.
If a customer places an order, what is the probability that the
order will include a hamburger and no soft drink if these two
events are independent?
8. 100 students were asked about the courses they like and here are the
results:
Courses
Frequency
Business Statistics
15
Economics
25
Accounting
40
Finance
20
If a student is selected at random from the above group of 100,
what is the probability that this person likes Economics?

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