5. Petra has mastered the proofs for six of ten theorems. Two of the theoremswill appear as questions on the final examination. What is the probability thata) neither of the proofs on the examination will be among those Petra mastered?b) at least one of the mastered proofs will appear on the examination?C11

Answered: Image /qna-images/answer/6a889d93-489b-4ab4-8947-294566f817bd.jpg

Answered: 5. Petra has mastered the proofs for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Select the correct choice that completes the sentences in parts (a) through (c). a) The probability of an event that cannot occur is b) The probability of an event that must occur is c) Every probability must be a number between and inclusive.
a) During the Restricted Movement Order (RMO), the maximum number of people can ride on a 7-seater car is only 4 people. In how many ways can a family of 10 people be seated on the car if the father must be on the car? In how many ways can the word ASTRAZENECA be arranged if the arrang ent must start with Z? b) The probability that a particular day will be sunny is 0.6. The probability that Aisyah will be going for a shopping on a sunny day is 0.6 and the probability that she will begoing for a shopping on a rainy day is 0.2. a) Draw a tree diagram to represent the above information. If Aisyah goes for a shopping on a particular day, find the probability that it is a rainy day. b)
5. Five discs, with the numbers 1 to 5 written on each of them, are placed in a bag. Two discs are drawn at ranckom from the bag and placed side by side to form a two-digit number. By drawing a possibility diagram, find the probability that the number formmed is (6) divisible by 2, (ii) divisible by 5, (iii) a perfect square.
Suppose I have 6 nieces and nephews (total, not six of each!) and I have just won a set of 8 CD's. In how many different ways can I: a) Give each child a CD? b) Give away all the CD's so that each child gets at least one (hint: try c first)? c) Give away all the CD's so that each child gets at least one without giving any child more than two?
Two dices are thrown. What is the probability that a)we'll get the same number twice b)the number in the first dice will be bigger than in the secon c) the sum of the numbers we get is smaller than five d) the multiplication of the numbers we get is an odd number plz help
Q1. Explain how Pascal's triangle may be used to identify the number of possible outcomes, based on five trials (i.e. n = 5). Derive an expression, based on a Binomial expansion, which shows the probability of each possible outcome. a)
Five cards are selected out of 52. In how many different ways can this be done if: they contain at least 4 clubs?
3-digit numbers will be formed with the natural numbers from 1 to 5, without repeating any digita) How many numbers can be formed?b) How many numbers can be formed that start with 4?c) If one of the 3-digit numbers is selected, what is the probability that it starts with 1 and has 4 in the second position?
None
4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that a) the first sandwich selected will be one of his choices? b) neither of the first two sandwiches will be among Wyatt's choices? 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as questions on the final examination. What is the probability that a) neither of the proofs on the examination will be among those Petra mastered? b) at least one of the mastered proofs will appear on the examination? 6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes? 7.…
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? A) 16/19 B) 1 C) 3/2 D) 17/20
In drawing 3 CD’s from a lot, defective and non defective CD’s , let A, B , C and D mean at least one Defective CD, at least one non defective CD, 2 defective CD’s and 2 non defective CD’s, respectively. Are A and B mutually exclusive? Are C and D mutually exclusive? Comment on your results.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS