Question

Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into his bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below.

Which model shows the probability of selecting each type of treat from his bag?

Answer 1

Answer: D

Explanation:

Answer 2

D. Swordfish treat: 20%

Lizard Lollies : 50%

Puffer pops: 30%.

Step-by-step explanation:

We are told that Matrix is handing out treats at a local protest to promote his new detective agency.

Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.

We know that
`\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}`.

Let us find probability of choosing each type of treat one by one.

`\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}`

`\text{Probability of choosing swordfish treat}=(4)/(4+10+6)`

`\text{Probability of choosing swordfish treat}=(4)/(20)`

`\text{Probability of choosing swordfish treat}=0.20`

Therefore, the probability of choosing swordfish treat is 0.20 or 20%.

`\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}`

`\text{Probability of choosing lizard Lollies}=(10)/(20)`

`\text{Probability of choosing lizard Lollies}=0.50`

Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.

`\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}`

`\text{Probability of choosing puffer pops}=(6)/(20)`

`\text{Probability of choosing puffer pop}=0.30`

Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.

Upon looking at our given choices we can see that option D is the correct choice.