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An orange-and-green spinner landed on orange $2$ times and on green $18$ times. What is the experimental probability that the next spin will land on orange? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{orange}) = \_\_\_$

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Experimental probability

Full solution

Q. An orange-and-green spinner landed on orange

2

times and on green

18

times. What is the experimental probability that the next spin will land on orange? Simplify your answer and write it as a fraction or whole number.

\newline

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

Calculate Experimental Probability: The experimental probability is calculated by dividing the number of times an event has occurred by the total number of trials. In this case, we need to find the probability of the spinner landing on orange based on past spins.
Identify Favorable Outcomes: The spinner landed on orange $2$ times. This is the number of favorable outcomes for landing on orange.
Determine Total Number of Spins: The total number of spins is the sum of the times the spinner landed on orange and the times it landed on green. So, the total number of spins is $2$ (orange) + $18$ (green) = $20$ spins.
Calculate Probability of Landing on Orange: Now we calculate the experimental probability of landing on orange by dividing the number of times it landed on orange by the total number of spins: $P(\text{orange}) = \frac{\text{Number of times landed on orange}}{\text{Total number of spins}} = \frac{2}{20}$ .
Simplify Fraction: Simplify the fraction $\frac{2}{20}$ by dividing both the numerator and the denominator by the greatest common divisor, which is $2$ . So, $\frac{2}{20}$ simplifies to $\frac{1}{10}$ .

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