Math Problem Statement

Probability of it landing on a 3 in fraction.

Probability of it landing on a 3 in fraction.

Solution

To calculate the probability of landing on a "3" on either spinner, we'll analyze both wheels separately.

First Spinner (on the left):

This spinner has 4 sections labeled: 3, 4, 5, and 6.

  • Total number of sections: 4
  • Number of sections labeled "3": 1

Thus, the probability of landing on a 3 for the first spinner is: P(3 on first spinner)=14P(\text{3 on first spinner}) = \frac{1}{4}

Second Spinner (on the right):

This spinner has 4 sections labeled: 2, 3, 3, and 3.

  • Total number of sections: 4
  • Number of sections labeled "3": 2 (there are two distinct sections labeled "3")

Thus, the probability of landing on a 3 for the second spinner is: P(3 on second spinner)=24=12P(\text{3 on second spinner}) = \frac{2}{4} = \frac{1}{2}

Conclusion:

  • For the first spinner, the probability of landing on a 3 is 14\frac{1}{4}.
  • For the second spinner, the probability of landing on a 3 is 12\frac{1}{2}.

Would you like further details or clarifications?

Here are 5 related questions to extend the discussion:

  1. What is the probability of landing on a 5 in the first spinner?
  2. What is the combined probability of landing on a 3 on both spinners simultaneously?
  3. If we spin each spinner once, what is the probability of getting an even number on either one?
  4. How would the probabilities change if one more section was added to each spinner?
  5. What is the expected outcome if we spin the second spinner 100 times?

Tip: When dealing with probabilities, always count the total outcomes first, then focus on the favorable ones to calculate the likelihood of an event!

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Math Problem Analysis

Mathematical Concepts

Probability
Fractions
Ratios

Formulas

P(Event) = (Number of Favorable Outcomes) / (Total Outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8