SOLUTION: (a) Among the three coins, one has heads on both the faces the second has tails on both the faces, and the third has a head on one face and a tail on the other. A coin chosen at ra

Question 1193277: (a) Among the three coins, one has heads on both the faces the second has tails on both the faces, and the third has a head on one face and a tail on the other. A coin chosen at random and tossed. The result is a head. What is the probability that the opposite face is a tail?
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
(a) Among the three coins, one has heads on both the faces the second has tails on both the faces,
and the third has a head on one face and a tail on the other. A coin chosen at random and tossed.
The result is a head. What is the probability that the opposite face is a tail?
~~~~~~~~~~~~~~~~

We are given that 


    +------------------------------------------------------------+
    |   a coin is chosen at random from the 3 coins and tossed;  |
    |             the result is a head (H).    (*)               |
    +------------------------------------------------------------+


It means that the chosen coin is either HH-coin or HT-coin, but not TT-coin.


Then in this reduced set of coins (HH-coin,HT-coin) we have only two possibilities for the opposite side:


    H from HH-coin or T from HT-coin, each of these two 
        possibilities with the probability 1/2.


So, under the given condition (*), the probability to have the opposite side T is 1/2.    ANSWER

Solved.

RELATED QUESTIONS
(a) Among the three coins, one has heads on both the face the second has tails on both... (answered by ikleyn)

Sue has two coins. One is fair, with head on one side and tail on the other. The... (answered by Fombitz)

A biased six-sided die has one face bearing number 3, two faces number 2 and three faces... (answered by Edwin McCravy)

Nonstandard dice can produce interesting distributions of outcomes. You have two... (answered by stanbon)

Nonstandard dice can produce interesting distributions of outcomes. You have two... (answered by edjones)

Nonstandard dice can produce interesting distributions of outcomes. You have two... (answered by stanbon)

An experiment consists of tossing 5 fair (not weighted) coins, except one of the... (answered by ikleyn,math_tutor2020,greenestamps)

A and B play a game of dice between them. The dice consist of colors on their faces... (answered by stanbon)

Nonstandard dice can produce intercst- ing distributions of outcomes. Suppose you have... (answered by Edwin McCravy)