Harper is playing darts. She hit the bullseye on 3 out of her last 12 tosses. Considering this data, how many bullseyes would you expect Harper to get during her next 16 tosses?
bullseyes
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Harper is playing darts. She hit the bullseye on 3 out of her last 12 tosses. Considering this data, how many bullseyes would you expect Harper to get during her next 16 tosses?
bullseyes
To find the expected number of bullseyes for Harper during her next 16 tosses, we first need to calculate her bullseye hitting percentage based on her past performance.
Harper hit the bullseye 3 times out of 12 tosses, which gives us the probability of hitting a bullseye:
[
text{Probability of hitting a bullseye} = frac{3}{12} = 0.25
]
Now, to find the expected number of bullseyes over the next 16 tosses, we multiply the probability by the number of tosses:
[
text{Expected bullseyes} = text{Probability} times text{Number of tosses} = 0.25 times 16 = 4
]
So, we would expect Harper to get approximately 4 bullseyes during her next 16 tosses.