Solution Found!

Statistics / A First Course in Probability 9 / Chapter 3 / Problem 43P

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

Change Question

There are 3 coins in a box. One is a two-headed coin,

Chapter 3, Problem 43P

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 43P

There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

Questions & Answers

QUESTION:

Problem 43P

There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

ANSWER:

Solution

Step 1 of 1

We have to find the probability of getting 2 headed coin when we flip 3 coins

Let H be the event that the coin shows head

All the 3 coins having the equal probability of selecting it them

Then P(A)=1/3

Let A be the 2 headed coin flipped then P(H/A)=1

Let B be the fair coin flipped, then P(H/B)=0.5

Study Tools You Might Need

Chapter: 2 Problem: 23

College Physics 1
Problem 23PE Problem (a) A light-rail commuter train accelerates at a rate of 1.35 m/s2 . How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65 m/s2 . How long does it take to come to

Chapter: 7 Problem: 42

Physics: Principles with Applications 7
A pendulum consists of a mass M hanging at the bottom end of a massless rod of length which has a frictionless pivot at its top end. A mass m, moving as shown in Fig. 735 with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum (with embedded m

Chapter: 25 Problem: 36E

Sears and Zemansky's University Physics with Modern Physics 13
Problem 36E The following measurements were made on a Thyrite resistor: I (A) 0.50 1.00 2.00 4.00 Vab (V) 2.55 3.11 3.77 4.58 (a) Graph Vab as a function of I. (b) Does Thyrite obey Ohms law? How can you tell? (c) Graph the resistance R = Vab/I as a function of I.

Chapter: 1 Problem: 25

Organic Chemistry, 6
Draw a Lewis structure for each of the following molecules and assign charges where appropriate. The order in which the atoms are connected is given in parentheses. O (a) ClF (b) BrCN (c) SOCl2(ClSCl) (d) CH3NH2 (e) CH3OCH3 (f) N2H2 (HNNH) (g) CH2CO (h) HN3 (HNNN) (i) N2O (NNO)

Chapter: 5 Problem: 5-2

Psychology 12
What is the course of prenatal development, and how do teratogens affect that development?

Chapter: 4 Problem: 1

Introductory Chemistry: A Foundation 9
Knowing the number of protons in the atom of a neutral element enables you to determine which of the following? a. the number of neutrons in the atom of the neutral element b. the number of electrons in the atom of the neutral element c. the name of the element d. two of the above e. none of the abov

Chapter: 9 Problem: 72

Plant Systematics 3
What is the difference between determinate and indeterminate inflorescence development?

Chapter: 19 Problem: 19.13

Chemistry for today : general, organic, and biochemistry 9
Write structural formulas to show the form the following amino acids would have in a solution with a pH lower than the amino acid isoelectric point: a. valine b. threonine

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account