Question
Given two spinners one with four equal parts labeled 1,1,3,4. And one with six regions labeled 1,2,3,4,5,6. Given one spin on each spinner what is the probability of spinning two numbers with the sum of 7?
Answers
MathMate
Spinner 1 : 4 outcomes
Spinner 2 : 6 outcomes
The spinners are independent of each other, so the multiplication rule applies.
Total possible outcomes: 4*6=24
Count how many compound events (one outcome from each spinner) gives a sum of 7.
For example,
1+6, 1+6, 3+4, 4+3 for a total of 4 events.
So P(7)=4/24=1/6
Spinner 2 : 6 outcomes
The spinners are independent of each other, so the multiplication rule applies.
Total possible outcomes: 4*6=24
Count how many compound events (one outcome from each spinner) gives a sum of 7.
For example,
1+6, 1+6, 3+4, 4+3 for a total of 4 events.
So P(7)=4/24=1/6