In a group of 25 boys, nine are members of the chess club (C), eight are members

Question:

In a group of 25 boys, nine are members of the chess club (C), eight are members of the debating club (D) and 10 are members of neither of these clubs. This information is shown in the Venn diagram.

a. Find the values of a, b and c.

b. Find the probability that a randomly selected boy is:

i. A member of the chess club or the debating club

ii. A member of exactly one of these clubs.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 13, 2021 01:32 AM

See More Questions

A group of 25 power transistors, dissipating 1.5 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The...
In a group of n people (n 100), each person is asked to select a number between 1 and 100, write the number on a slip of paper and place the slip in a hat. What is the probability that at least 2 of...
In a group of 18 patients, there were 8 men and 10 women. Suppose we were to choose two of them, at random and without replacement. What is the probability that they would be the same sex?
World Information Group has two major divisions: print and Internet. Summary financial data (in millions) for 2011 and 2012 are: The annual bonuses of the two division managers are based on division...
What is the boiling point of a 6.95 m solution of C12H22O11 in H2O?
Adelie Enterprises is exploring a new service to provide weekly delivery of grocery items to homes in the greater Greenwood area. The companys customers place Web-based orders and Adelies team...
Consumers rarely stop to pause at the many products and services are often sold together as packages: Bicycle frames are usually sold with seats, wheels, and handlebars; vacation packages may bundle...
The fixed and variable costs for three potential manufacturing plant sites for a rattan chair weaver are shown: (a) Over what range of production is each location optimal? (b) For a production of 200...
6. For an SHM oscillator, the amplitude is 5 cm and its time period is 4 seconds. The minimum time taken by the particle to pass between points which are at distances 4 cm and 3 cm from the centre of...
Single-Stage Extraction with Unknown Composition. A feed mixture weighing 200 kg of unknown composition containing water, acetic acid, and isopropyl ether is contacted in a single stage with 280 kg...
On any particular day, there is a 30% chance of snow in Slushly. Find the probability that it snows there on: a. None of the next 3 days b. Exactly one of the next 3 days.
When they are switched on, certain small devices independently produce outputs of 1, 2 or 3 volts with respective probabilities of 0.3, 0.6 and 0.1. Find the probability that three of these devices...
Select a country (e.g., Brazil) of interest to you. Perform a search using the country name and restrictive keywords such as credit risk, country risk, expropriation, copyright, patent, investment...
Name Make a Travel Guide to Camazotz Use the chart you completed and the text to create a travel guide to Camazotz telling people what it looks like and what to expect. In the empty box, draw a...
Arsenic exhibits dose-dependent toxicity in humans and has been shown to cause lung and skin cancer with prolonged and chronic exposure. Arsenic salts are used to aid in the electrodeposition of gold...
You buy a new Ford F150. The tires that come with the truck are final goods. intermediate goods. transfer goods. financial goods
When stock price movements are governed by a multistep binomial tree we can treat each binomial step separately and work back from the end of the life of the option to the beginning to obtain the...
Accounting standards are the technical process of balancing accounts. rules for preparing financial statements. the levels of tax payments needed. the rules for performing an audit
compound with molecular formula C5H10O2 gives the following IR spectrum. When it undergoes acid-catalyzed hydrolysis, the compound with the following 1H NMR spectrum is formed. Identify the...
What did Lennox gain by integrating their WMS, TMS, and labor management systems?
Given that tan 25 = a, express each of the following in terms of a. a. tan205 b. sin25 c. cos65 d. cos245
Solve each of these equations for 0 < x < 360. a. sin x cos(x 60) = 0 b. 5sin 2 x 3sinx = 0 c. tan 2 x = 5tanx d. sin 2 x + 2 sin x cosx = 0 e. 2 sin x cos x = sinx f. sinxtanx = 4sinx
Part of the graph y = a sinbx + c is shown above. Find the value of a, the value of b and the value of c. YA M 9 8 7 6 5 4 3 2. 1 0 T n E 3r 2
Discuss the Extraversion aspect of the five factor model of personality.
Find the value of (100 + 20 + 3) 456. Rewrite (a + b) (c + d) as the sum of products. Find the values of (a) 271/3 (b) (8)2/3 (c) 163/2 (d) (2)2 (e) (1/8)2/3 (f ) (9)1/2
Show that 1 2 2 a b c a b c a b c + = Hence express the following numbers in the form x + yn where x and y are rational numbers and n is an integer: (a) 1 7 5 + 2 (b) 2 3 2 9 7 2 + (c) 4 2 3 7 3 3...

In a group of 25 boys, nine are members of the chess club (C), eight are members

Question:

25 D a b 8 10

Step by Step Answer:

Probability is the measure that used to determine who possible an event likely to happen It is calcu...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions