Question

answer the question below. type your response in the space provided.
if a spinner divided into 2 sections is spun 5 times, how many outcomes are possible?
incorrect. there are 2 possible sample outcomes in each of the 5 spins, so the number of possible outcomes is $2^5 = 32$. enter the correct answer.

Explanation:

Step1: Identify each spin's outcomes

Each spin of the 2 - section spinner has 2 possible outcomes.

Step2: Apply the multiplication principle

For 5 independent spins, the total number of possible outcomes is calculated by multiplying the number of outcomes for each spin together. Since each spin has 2 outcomes, for 5 spins, we use the formula for the number of outcomes in a sequence of independent events: if there are \(n\) events and each event has \(k\) outcomes, the total number of outcomes is \(k^n\). Here, \(k = 2\) (outcomes per spin) and \(n=5\) (number of spins), so the number of outcomes is \(2^5\).

Step3: Calculate \(2^5\)

We know that \(2^5=2\times2\times2\times2\times2 = 32\).

Answer:

32