In a football match, the winner gets 2 pointsand loser gets no point. If the match ends in adraw, then both get 1 point. A football teamjoins the match and the probability that theteam can win the match is 0.5 and lose thematch is 0.3.(a) Find the probability that the match ends ina draw.(b) Calculate the expected point that the teamwill get in the match.

Here Given For Football team Winner gets 2 points Loser gets 0 and In Tie match Both get 1 point…

Answered: (a) Find the probability that the match…

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

Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F)= 0.20. P(E or F) =| (Simplify your answer.)
The result of a mathematics course shows that 85% of the students who fail in tests also fail in the final assessment. Eight students who fail in tests are chosen at random. Find the probability that (i) all eight students fail in the final assessment, (ii) at least four students fail in the final assessment.
At a fundraiser, local merchants have donated prizes. Prizes include 6 gift cards from the local bookstore, 12 gift cards from participating restaurants, and 7 gift cards from a local clothing store. At the beginning of the fundraiser, 3 gift cards are chosen to be given away. What is the probability that all 3 gift cards are for the participating restaurants? Your answer should be given to 4 decimal places.
A production line stops operating once a defective item is produced. The probability of producing a defective item is 0.001. What is the probability that the line stops production on the 1000 item produced.
During normal working hours, a call centre receives an average of 60 calls per hour. (d) Calculate the probability that there will be less than 1 calls in 5 minute(s). (e) Calculate the probability that there will be more than 3 calls in 8 minutes. (f) Calculate the probability that there will be less than 3 and more than 2calls in 8 minutes.
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.5 accidents per 100,000 flight operations. (b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.)(c) Find the probability of at least 8 accidents in 200,000 flight operations. (Use 4 decimal places.)
An airline company found out from statistics made in previous years that 5% of those who made reservations did not come to board the plane when the flight time came. 52 people booked a flight with a 50-seat aircraft. Calculate the probability that all passengers on the plane will be seated.
Guadalupe buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Guadalupe randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? (Round your answer to 4 decimal places.)
4.35 How many courses? At a small liberal arts college, students can register for one to six courses. Let X be the number of courses taken in the fall by a randomly selected student from this college. In a typical fall semester, 6% take one course, 6% take two courses, 12% take three courses, 20% take four courses, 41% take five courses, and 15% take six courses. Let X be the number of courses taken in the fall by a randomly selected student from this college. Describe the probability distribution of this random variable.
The table summarizes results from pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 48 68 No 280 579 If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. (Please enter a decimal, and round your answer to 4 decimal places.)Probability =

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

(a) Find the probability that the match ends in a draw. (b) Calculate the expected point that the team will get in the match.