A toy manufacturer produces the same toy in 4 different colors: red, blue, green, and yellow. The toy manufacturer has 5 production lines dedicated to the red version, 5 production lines dedicated to the blue version, 4 production lines dedicated to the green version, and 2 production lines dedicated to the yellow version. A toy has an equal chance of traveling down any production line. What is the probability that the toy will not be green?
5 + 5 + 4 + 2 = 16
16 - 4 = 12
12/16 = 3/4
The probability that the toy will not be green is 3/4.
Answer:
The probability that the toy will not be green is 3/4 or 0.75
Step-by-step explanation:
Consider the provided information.
A toy manufacturer produces the same toy in 4 different colors: red, blue, green, and yellow.
Production lines dedicated to the red = 5
Production lines dedicated to the blue = 5
Production lines dedicated to the green = 4
Production lines dedicated to the red = 2
We need to calculate the probability that that the toy will not be green.
The total number of toys are: 5 + 5 + 4 + 2 = 16 toys.
Total toys that are not green = 5 + 5 + 2 = 12 toys.
\(Probability=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}\)
Substitute the respective values in the above formula.
\(Probability=\frac{12}{16}\)
\(Probability=\frac{3}{4}=0.75\)
Hence, the probability that the toy will not be green is 3/4 or 0.75