Subjects probability

Spinner Sums C0Abfc

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We want to find how many different ways it is possible to get a total of 6 when two fair spinners are spun and their results are added together. 2. **Understand the spinners:** - Spinner A has values: 1, 2, 3 - Spinner B has values: 1, 2, 3, 4 3. **Possible sums:** The sum is formed by adding a value from Spinner A and a value from Spinner B. 4. **Find all pairs (a,b) such that $a + b = 6$ where $a \in \{1,2,3\}$ and $b \in \{1,2,3,4\}$:** - For $a=1$, $b=6-1=5$ (not in Spinner B) - For $a=2$, $b=6-2=4$ (valid) - For $a=3$, $b=6-3=3$ (valid) 5. **Count valid pairs:** - $(2,4)$ - $(3,3)$ 6. **Answer:** There are **2** different ways to get a total of 6.