at the school carnival, nicole is in charge of a spinner game where students can win prizes. the spinner is…

at the school carnival, nicole is in charge of a spinner game where students can win prizes. the spinner is divided into 4 unequal sections labeled book, sticker, eraser, and keychain. nicole keeps track of what prizes the spinner lands on for the first 8 students who play. here are her results: sticker, book, eraser, keychain, sticker, eraser, sticker, keychain. based on the data, what is the probability of the spinner landing on keychain? write your answer as a fraction or whole number.

at the school carnival, nicole is in charge of a spinner game where students can win prizes. the spinner is divided into 4 unequal sections labeled book, sticker, eraser, and keychain. nicole keeps track of what prizes the spinner lands on for the first 8 students who play. here are her results: sticker, book, eraser, keychain, sticker, eraser, sticker, keychain. based on the data, what is the probability of the spinner landing on keychain? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Count key - chain occurrences

The results are: sticker, book, eraser, keychain, sticker, eraser, sticker, keychain. The key - chain appears 2 times.

Step2: Calculate probability

The total number of spins is 8. The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (spinner landing on key - chain) is 2 and the total number of outcomes is 8. So $P = \frac{2}{8}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$