Suppose a student guesses the answer to a true or false Question on a test by tossing a coin: if the coin lands Heads, she answers True, and if it lands Tails, she answers False. What is the chance that she gets the right answer?
1/2 whether tossing a coin or just guessing.
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To determine the chance of getting the right answer, we need to know the probability of each outcome and the probability of the desired outcome occurring.
In this case, since the student is guessing by tossing a fair coin, there are two equally likely outcomes: Heads or Tails. Therefore, the probability of getting Heads is 1/2 and the probability of getting Tails is also 1/2.
Now, let's consider the probability of getting the right answer. Since the student is guessing using the coin toss, the probability of guessing the correct answer is 1/2. This means that there is a 50% chance of getting the answer right.
Therefore, the chance that the student gets the right answer by tossing a coin is 50% or 1/2.