Spinner A
Sample space = 1,2,3,4,5,6
Number of total outcome = 6
Odd numbers = 1,3,5
Number of odd numbers = 3
[tex]\text{Probability = }\frac{n\text{umber of required outcomes}}{\text{total number of possible outcome}}[/tex]
Probability of spinning an odd number = 3/6 = 1/2
Spinner B
Sample space = yellow, brown, red
Number of total outcome = 3
Not yellow = brown, red
Number of not yellow = 2
Probability of not yellow = 2/3
Since the two spinners are independent events, then the probability that you spin an odd number and not yellow are multiplied together
Thus we have,
Probability of spinning an odd number X Probability of not yellow
[tex]\frac{1}{2}\text{ X }\frac{2}{3}\text{ = }\frac{2}{6}[/tex]
Final answer is 1/3.
