Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

read the story. tanvi received a large box of chocolates for valentines…

Question

read the story. tanvi received a large box of chocolates for valentines day, and about 30% of the chocolates have a caramel filling. tanvi took out 2 to eat for dessert. how likely is it that at least 1 has a caramel filling? which simulation could be used to fairly represent the situation? create a spinner with 10 equal sections. color 3 sections white and the remaining sections red. spin the spinner 2 times. each time the spinner lands on a white section, it represents a chocolate with a caramel filling. roll a six - sided die 2 times. each time a 5 or 6 appears, it represents a chocolate with a caramel filling. flip a pair of coins 30 times. each time the coins both land on heads, it represents a chocolate with a caramel filling.

Explanation:

Step1: Analyze the probability of caramel - filled chocolates

The probability that a chocolate has a caramel filling is 30% or 0.3.

Step2: Analyze the spinner simulation

A spinner with 10 equal - sections has a total of 10 possible outcomes. If 3 sections are colored white, the probability of landing on a white section is $\frac{3}{10}=0.3$. Spinning the spinner 2 times is equivalent to taking out 2 chocolates.

Step3: Analyze the die - rolling simulation

The probability of rolling a 5 or 6 on a six - sided die is $\frac{2}{6}\approx0.333
eq0.3$.

Step4: Analyze the coin - flipping simulation

The probability of getting two heads when flipping a pair of coins is $\frac{1}{4} = 0.25
eq0.3$.

Answer:

Create a spinner with 10 equal sections. Color 3 sections white and the remaining sections red. Spin the spinner 2 times. Each time the spinner lands on a white section, it represents a chocolate with a caramel filling.