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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
26 Oct 2021

Given information

Given that when the Euro coin was introduced in 2002, two math professors had their statistics students test whether the Belgian one Euro coin was a fair coin. They spun the coin rather than tossing it and found that out of 250 spins, 140 showed a head (event H) while 110 showed a tail (event 7). On that basis, they claimed that it is not a fair coin.

 

The main objective is to use the tree to find the probability of obtaining exactly one head in two tosses of the coin.

Step-by-step explanation

Step 1.

From the given data, if the total possible outcomes of the experiment is 250, and the favourable outcomes of getting a head is 140, and the favourable outcomes of getting a tail is 110.

 

The formula to find the probability of an event A is defined as   .

Then, the probabilities of getting a head and tails when a coin is tossed once are:

 

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