Question

Congratulations! You've won a chance to win a prize! All you have to do is pick a slip ofpaper out of the bowl. What's written on it is your prize. One piece of paper has "NewCar" on it, 5 have "iPhone 12 Pro Max", 10 have "$25 Gift Card", and 24 that have "FirmHandshake" on it. Complete a probability model using the table below for choosing oneof these at random. (Use fractions or decimals, not percentages.)QUESTION #1

Answer 1

Determine the total number of slip in the bowl.

`\begin{gathered} T=1+5+10+24 \\ =40 \end{gathered}`

Determine the probability for slip with "New car".

`\begin{gathered} P\text{ (New car)=}(1)/(40) \\ =0.025 \end{gathered}`

Determine the probability for slip with "iPhone".

`\begin{gathered} P\text{ (iPhone)=}(5)/(40) \\ =(1)/(8) \\ =0.125 \end{gathered}`

Determine the probability for slip with "Gift card".

`\begin{gathered} P\text{ (Gift card)=}(10)/(40) \\ =(1)/(4) \\ =0.25 \end{gathered}`

Determine the probability for slip with "Handshake".

`\begin{gathered} P\text{ (Handshake)=}(24)/(40) \\ =(6)/(10) \\ =0.6 \end{gathered}`

So answers are,

New car: 1/40 or 0.025

iPhone: 1/8 or 0.125

Gift card: 1/4 or 0.25

Handshake: 6/10 or 0.6