Question

this table shows outcomes of a spinner with 3 equal sections colored blue, pink, and orange.
section | outcomes
blue | 100
pink | 139
orange | 161
part a: enter the estimated probability of the spinner landing on blue.
part b: enter the best prediction for the number of times the arrow is expected to land on the blue section if it is spun 100 times.
a. enter answer
b. enter answer

Explanation:

Step1: Calculate total outcomes

First, find the total number of spins by adding the outcomes for each section. So, \(100 + 139 + 161 = 400\).

Step2: Find probability for blue (Part A)

The probability of landing on blue is the number of blue outcomes divided by total outcomes. So, \(\frac{100}{400} = 0.25\).

Step3: Predict for 100 spins (Part B)

Use the probability from Part A. Multiply the probability by the number of spins (100). So, \(0.25\times100 = 25\).

Answer:

Part A: \(0.25\)
Part B: \(25\)