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Question
one candy is drawn and replaced from the bag 80 times. how many times would you expect to draw a purple candy? ? times
Step1: Calculate the probability of drawing a purple candy
The total number of candies is $10 + 6+4=20$. The number of purple candies is 6. So the probability $P$ of drawing a purple candy is $P=\frac{6}{20}=\frac{3}{10}$.
Step2: Calculate the expected number of times
The number of trials $n = 80$. The expected - value formula is $E=n\times P$. Substitute $n = 80$ and $P=\frac{3}{10}$ into the formula: $E = 80\times\frac{3}{10}=24$.
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