nathan spins 2 different spinners at the same time. there are a total of 10 possible outcomes. which pair of…
nathan spins 2 different spinners at the same time. there are a total of 10 possible outcomes. which pair of spinners did nathan spin?
Answer
Explanation:
Step1: Recall counting - principle
The total number of outcomes when spinning two spinners is the product of the number of outcomes on each spinner. Let the number of outcomes on the first spinner be $m$ and on the second be $n$. Then the total number of outcomes is $m\times n$.
Step2: Analyze each option
- Option 1: The first spinner has 5 sections and the second has 3 sections. So the number of outcomes is $5\times3 = 15$.
- Option 2: The first spinner has 4 sections and the second has 2 sections. So the number of outcomes is $4\times2=8$.
- Option 3: The first spinner has 5 sections and the second has 2 sections. So the number of outcomes is $5\times2 = 10$.
- Option 4: The first spinner has 5 sections and the second has 5 sections. So the number of outcomes is $5\times5=25$.