Math  /  Data & Statistics

QuestionSave \& Exit Certify Lesson: 10.6 Expected Value JAQUELINE HERNANDEZ Question 3 of 15, Step 1 of 1 2/15 Correct 2
At your local carnival, there is a game where 40 rubber duckies are floating in a kiddie tub, and they each have their bottoms painted one of three colors. 5 are painted pink, 17 are painted blue, and 18 are painted purple. If the player selects a duck with a pink bottom, they receive three pieces of candy. If they select blue, they receive two pieces of candy. And if they select purple, they receive one piece of candy. If the game is played 75 times, what are the minimum and maximum amounts of candy that could be handed out?

Studdy Solution

STEP 1

1. There are 40 rubber duckies in total.
2. The distribution of duck colors is: 5 pink, 17 blue, and 18 purple.
3. The rewards are: 3 candies for pink, 2 candies for blue, and 1 candy for purple.
4. The game is played 75 times.

STEP 2

1. Calculate the maximum amount of candy that could be handed out.
2. Calculate the minimum amount of candy that could be handed out.

STEP 3

To find the maximum amount of candy, assume the player selects the duck with the highest candy reward each time. In this case, the pink duck, which gives 3 candies.
Maximum candies per game = 3 candies (for pink duck)
Maximum candies=75×3=225 \text{Maximum candies} = 75 \times 3 = 225

STEP 4

To find the minimum amount of candy, assume the player selects the duck with the lowest candy reward each time. In this case, the purple duck, which gives 1 candy.
Minimum candies per game = 1 candy (for purple duck)
Minimum candies=75×1=75 \text{Minimum candies} = 75 \times 1 = 75
The minimum amount of candy that could be handed out is 75, and the maximum amount is 225.

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