Question

Sue is playing darts. So far, she has hit the bullseye 4 times and missed the bullseye 10 times. What is the experimental probability that Sue will hit the bullseye on her next toss?
Write your answer as a fraction or whole number.
P(bullseye)=

Answer 1

To find the experimental probability that Sue will hit the bullseye on her next toss, we can use the formula for experimental probability:

\[
P(\text{bullseye}) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\]

In this case, Sue has hit the bullseye 4 times and missed it 10 times. Therefore, the total number of trials (tosses) is:

\[
\text{Total number of trials} = \text{hits} + \text{misses} = 4 + 10 = 14
\]

Now we can substitute the values into the probability formula:

\[
P(\text{bullseye}) = \frac{4}{14}
\]

Next, we can simplify this fraction. Both the numerator and the denominator can be divided by 2:

\[
P(\text{bullseye}) = \frac{4 \div 2}{14 \div 2} = \frac{2}{7}
\]

Thus, the experimental probability that Sue will hit the bullseye on her next toss is:

\[
\boxed{\frac{2}{7}}
\]