Math  /  Data & Statistics

Question11 Majid has a spinner.
Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, "The probability that the arrow will land on 2 is 13\frac{1}{3} because the spinner has three sections." Is Majid correct? You must give a reason for your answer.

Studdy Solution

STEP 1

What is this asking? Is the chance of the spinner landing on 2 actually one-third, and why or why not? Watch out! Don't just assume each section has the same probability!
Look closely at the sizes.

STEP 2

1. Examine the spinner sections
2. Determine the probability

STEP 3

Alright, let's **carefully** examine this spinner!
Notice anything unusual?
The sections labeled 1 and 3 are **bigger** than the section labeled 2.
That's a **crucial** observation!

STEP 4

Since the sections aren't the same size, they don't have the same probability.
If the sections were **equal**, Majid would be right, and each would have a probability of 13\frac{1}{3}.
But they're **not** equal, so we know something's fishy!

STEP 5

Because section 2 is **smaller** than the others, the probability of landing on 2 is **less than** 13\frac{1}{3}.
The arrow is less likely to land on a smaller section.

STEP 6

Think of it like this: if section 2 was **tiny**, **super tiny**, the probability of landing on it would be **close to zero**, right?
And if section 2 was **huge**, taking up almost the whole spinner, the probability would be **close to one**!
The size of the section **directly** affects the probability.

STEP 7

Majid is **incorrect**.
The probability of the arrow landing on 2 is **less than** 13\frac{1}{3} because the section labeled 2 is **smaller** than the other sections.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord