The plastic arrow on a spinner for a child's game stops rotating to point at one of four colours that will determine what happens next.Determine whether the following probability assignment is legitimate. Probability of ... $$\begin{array} { c | c | c | c }
\text { Red } & \text { Yellow } & \text { Green } & \text { Blue } \
\hline 0.70 & 0.10 & 0.10 & 0.20
\end{array}$$
A)Legitimate
B)Not legitimate

Question

The plastic arrow on a spinner for a child's game stops rotating to point at one of four colours that will determine what happens next.Determine whether the following probability assignment is legitimate. Probability of ... $$\begin{array} { c | c | c | c } 
\text { Red } & \text { Yellow } & \text { Green } & \text { Blue } \
\hline 0.70 & 0.10 & 0.10 & 0.20
\end{array}$$
A)Legitimate
B)Not legitimate

Quizplus · Accepted Answer

The probability assignment is not legitimate as it is not stated what the probabilities are for each of the four colors. In order for a probability assignment to be legitimate, the sum of the probabilities for all possible outcomes must equal 1, and each probability must be between 0 and 1. Without specific probabilities, it is impossible to determine if this rule is being followed, making the assignment illegitimate.

The Plastic Arrow on a Spinner for a Child's Game Red Yellow Green Blue 0.700.100.100.20\begin{array} { c | c | c | c } \text { Red } & \text { Yellow } & \text { Green } & \text { Blue } \\\hline 0.70 & 0.10 & 0.10 & 0.20\end{array} Red 0.70​ Yellow 0.10​ Green 0.10​ Blue 0.20​​

The Plastic Arrow on a Spinner for a Child's Game $\begin{array} { c | c | c | c } \text { Red } & \text { Yellow } & \text { Green } & \text { Blue } \\\hline 0.70 & 0.10 & 0.10 & 0.20\end{array}$