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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?
tanvi simulates the situation by creating a spinner with 3 white sections and 7 red sections. she spins the spinner 2 times. each time the spinner lands on a white section, it represents a chocolate with a caramel filling.
tanvi records the results by writing \w\ when it lands on a white section and
\ when it lands on a red section. here are the results of 20 trials:
rr rr rr rw rr
wr rr wr rr rw
rr wr rr rw rr
rw rw rr rr wr
based on tanvis results, what is the probability that at least 1 of the chocolates has a caramel filling?
Step1: Count total trials
There are 20 trials.
Step2: Count favorable trials
Count the number of trials with at least one "W". There are 12 such trials.
Step3: Calculate probability
Probability = $\frac{\text{Number of favorable trials}}{\text{Total number of trials}}\times100\%=\frac{12}{20}\times100\% = 60\%$
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60%