If the spinner below is spun once find each probability – If the spinner below is spun once, what is the probability of landing on each number? This engaging exploration delves into the realm of probability, examining the likelihood of various outcomes when a spinner is given a single spin. Prepare to embark on a journey of mathematical discovery as we unravel the probabilities associated with each number, from even and odd to prime and multiples.
The spinner in question features six equally spaced numbers: 1, 2, 3, 4, 5, and 6. As it spins, each number has an equal chance of being selected. Our task is to determine the probability of each outcome, providing a comprehensive understanding of the spinner’s behavior.
Probability of a Spinner: If The Spinner Below Is Spun Once Find Each Probability
A spinner with six equal-sized sections numbered 1 to 6 is spun once. The probability of each number being spun is calculated as follows:
Probability of Each Number
| Number | Probability | Outcome | Explanation |
|---|---|---|---|
| 1 | 1/6 | The spinner can land on number 1 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
| 2 | 1/6 | The spinner can land on number 2 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
| 3 | 1/6 | The spinner can land on number 3 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
| 4 | 1/6 | The spinner can land on number 4 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
| 5 | 1/6 | The spinner can land on number 5 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
| 6 | 1/6 | The spinner can land on number 6 in one way. | There are six possible outcomes, so the probability of each outcome is 1/6. |
Probability of Even/Odd Number, If the spinner below is spun once find each probability
The probability of spinning an even number is 3/6 or 1/2. This is because there are three even numbers (2, 4, 6) out of the six possible outcomes.
The probability of spinning an odd number is also 3/6 or 1/2. This is because there are three odd numbers (1, 3, 5) out of the six possible outcomes.
Probability of Prime Number
The probability of spinning a prime number is 2/6 or 1/3. This is because there are two prime numbers (2, 3) out of the six possible outcomes.
Probability of Multiple of 3
The probability of spinning a multiple of 3 is 2/6 or 1/3. This is because there are two multiples of 3 (3, 6) out of the six possible outcomes.
Probability of Greater than 4
The probability of spinning a number greater than 4 is 2/6 or 1/3. This is because there are two numbers greater than 4 (5, 6) out of the six possible outcomes.
Probability of Less than 2
The probability of spinning a number less than 2 is 1/6. This is because there is only one number less than 2 (1) out of the six possible outcomes.
FAQ Corner
What is the probability of landing on an even number?
The probability of landing on an even number (2, 4, or 6) is 3/6 or 1/2.
What is the probability of landing on a number greater than 4?
The probability of landing on a number greater than 4 (5 or 6) is 2/6 or 1/3.
What is the probability of landing on a prime number?
The probability of landing on a prime number (2, 3, or 5) is 3/6 or 1/2.
