Suppose your friends have the following ice cream flavor preferences:70% of your friends like chocolate (C). The remaining do not like chocolate.40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles.25% of your friends who like Chocolate (C) also like sprinkles (S).Of the friends who like sprinkles, what proportion of this group likes chocolate? (Note: Some answers are rounded to two decimal places.) 0.11 0.28 0.36 0.56 0.63
Question
Suppose your friends have the following ice cream flavor preferences:70% of your friends like chocolate (C). The remaining do not like chocolate.40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles.25% of your friends who like Chocolate (C) also like sprinkles (S).Of the friends who like sprinkles, what proportion of this group likes chocolate? (Note: Some answers are rounded to two decimal places.) 0.11 0.28 0.36 0.56 0.63
Solution
To solve this problem, we need to find out how many of your friends like both chocolate and sprinkles.
First, we know that 70% of your friends like chocolate. Out of these, 25% also like sprinkles. So, the proportion of your friends who like both chocolate and sprinkles is 0.70 * 0.25 = 0.175 or 17.5%.
Next, we know that 40% of your friends like sprinkles. We want to find out what proportion of this group also likes chocolate.
So, we divide the proportion of friends who like both (0.175 or 17.5%) by the proportion of friends who like sprinkles (0.40 or 40%).
0.175 / 0.40 = 0.4375 or 43.75%
So, of the friends who like sprinkles, 43.75% also like chocolate.
Therefore, the closest answer to this proportion is 0.44 when rounded to two decimal places. However, this option is not provided in the list. The provided options might be incorrect or the question might have some mistakes.
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