Eric has a spinner that is divided into different colored sections that are the same size and shape. On any spin the theoretical probability of the arrow landing on the red section is 1/5. When Eric spun the arrow x number of times, the arrow landed on the red section 225 times. Based on this information which could most likely be the value of x?
Choice answers
230
1025
220
1125
How do I solve?
5*225 = 1125
Ok so out of 5. And 5 x 225 times it landed on the red section. Thank you!
Can you delete this question?
no, it hit the red section 225 times out of 1125 times spun
thx
To solve this problem, you can use the concept of theoretical probability. The theoretical probability is the likelihood of an event happening based on mathematical calculations or assumptions.
In this case, we are given that the theoretical probability of the arrow landing on the red section is 1/5. This means that out of every 5 spins, we would expect the arrow to land on the red section once.
We also know that Eric spun the arrow x number of times and it landed on the red section 225 times. To determine the value of x, we can set up a proportion.
Let's say x represents the total number of spins that Eric made. Since the probability of landing on red is 1/5, the expected number of times the arrow lands on red out of x spins would be (1/5) * x.
Setting up the proportion:
(1/5) * x = 225
To solve for x, we can cross multiply:
x = 225 * 5
x = 1125
Therefore, based on this information, the most likely value for x is 1125.