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Nate is birdwatching at the coast. He has seen $2$ vultures out of $12$ total birds. What is the experimental probability that the next bird Nate sees will be a vulture? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{vulture}) = \_\_$

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Experimental probability

Full solution

Q. Nate is birdwatching at the coast. He has seen

2

vultures out of

12

total birds. What is the experimental probability that the next bird Nate sees will be a vulture? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{vulture}) = \_\_

Define Experimental Probability: The experimental probability is based on the number of successful outcomes (seeing a vulture) divided by the total number of trials (total birds seen). Nate has seen $2$ vultures out of $12$ total birds.
Calculate Experimental Probability Formula: To calculate the experimental probability, we use the formula: $\newline$ $P(\text{vulture}) = \frac{\text{Number of vultures seen}}{\text{Total number of birds seen}}$
Substitute Given Numbers: Substitute the given numbers into the formula: $\newline$ $P(vulture) = \frac{2}{12}$
Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ : $P(\text{vulture}) = \left(\frac{2 \div 2}{12 \div 2}\right)$
Final Experimental Probability: After simplification, we get: $\newline$ $P(vulture) = \frac{1}{6}$

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