Math  /  Data & Statistics

QuestionYou spin the spinner once.
What is P(4\mathrm{P}(4 or odd )) ? Simplify your answer and write it as a fraction or whole number. \square

Studdy Solution

STEP 1

What is this asking? What's the chance of landing on the number 4 *or* an odd number when spinning this spinner *once*? Watch out! Don't forget that "or" in probability means we might need to add probabilities, but watch out for overlaps!

STEP 2

1. Identify favorable outcomes
2. Calculate the probability

STEP 3

Alright, let's break this down!
We're looking for the probability of landing on 4 *or* an odd number.
What are the odd numbers on the spinner?
Just 1\text{1} and 3\text{3}.
So, we're looking for the spinner to land on 1\text{1}, 3\text{3}, or 4\text{4}.

STEP 4

How many **favorable outcomes** do we have?
We've got three: 1\text{1}, 3\text{3}, and 4\text{4}.
Keep that number (33) in mind, it's important!

STEP 5

Now, how many **total possible outcomes** are there?
Since the spinner has four equally sized sections, there are four possible outcomes: 1\text{1}, 2\text{2}, 3\text{3}, or 4\text{4}.

STEP 6

The probability of an event is the number of **favorable outcomes** divided by the number of **total possible outcomes**.
In our case, we have 3\text{3} favorable outcomes (landing on 1\text{1}, 3\text{3}, or 4\text{4}) and 4\text{4} total possible outcomes.

STEP 7

So, the probability is: Number of favorable outcomesNumber of total possible outcomes=34 \frac{\text{Number of favorable outcomes}}{\text{Number of total possible outcomes}} = \frac{3}{4}

STEP 8

The probability of landing on 4 or an odd number is 34\frac{3}{4}.

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