8. A box contains 10 coins where 5 coins are two-headed, 3 coins are two-tailed, and 2 coins have one tail and one head. Assume that if a coin in the box is tossed, it is equally likely that each of the two faces ends up facing upwards. A coin is chosen at random from the box and tossed. (a) Calculate the probability that a head is obtained, i.e. the face of the coin facing upwards is a head. Show your workings. (b) If a head is obtained, calculate the probability that the coin has one head and one tail. Show your workings.

8. A box contains 10 coins where 5 coins are two-headed, 3 coins are two-tailed, and 2 coins have one tail and one head. Assume that if a coin in the box is tossed, it is equally likely that each of the two faces ends up facing upwards. A coin is chosen at random from the box and tossed. (a) Calculate the probability that a head is obtained, i.e. the face of the coin facing upwards is a head. Show your workings. (b) If a head is obtained, calculate the probability that the coin has one head and one tail. Show your workings.

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Description: 8. A box contains 10 coins where 5 coins are two-headed, 3 coins are two-tailed, and2 coins have one tail and one head. Assume that if a coin in the box is tossed, itis equally likely that each of the two faces ends up facing upwards. A coin ischose

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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8. A box contains 10 coins where 5 coins are two-headed, 3 coins are two-tailed, and
2 coins have one tail and one head. Assume that if a coin in the box is tossed, it
is equally likely that each of the two faces ends up facing upwards. A coin is
chosen at random from the box and tossed.
(a) Calculate the probability that a head is obtained, i.e. the face of the coin
facing upwards is a head. Show your workings.
(b) If a head is obtained, calculate the probability that the coin has one head
and one tail. Show your workings.

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