Question

In a game using a spinner with four equal parts numbered 1 to 4, a contestant wins when the spinner lands on an odd number. Is this game fair?A.yesB.noC.not enough information

Answer 1

Explanation

If the parts of the spinner are equal then the chance of the spinner landing on a certain number is the same for all the numbers. There are 2 odd numbers between 1 and 4 which are 1 and 3. Then the probability of the spinner landing on an odd number is:

$\frac{2}{4}=\frac{1}{2}$

And that's the probability of winning. On the other hand, the probability of losing is the probability of the spinner landing on an even number. There are two even numbers which means that the probability of losing is:

$\frac{2}{4}=\frac{1}{2}$Answer

The probability of losing is equal to the probability of winning. Therefore the game is fair and the answer is option A.