the results of a color spinner experiment are shown in the table. consider the experimental probability of…
the results of a color spinner experiment are shown in the table. consider the experimental probability of the spinner landing on green. if the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green?\n\n| result | frequency |\n| ---- | ---- |\n| blue | 7 |\n| red | 9 |\n| green | 6 |\n| yellow | 8 |\n\n5\n6\n10\n12
Answer
Explanation:
Step1: Calculate total spins in first experiment
$7 + 9+6 + 8=30$
Step2: Calculate experimental probability of landing on green
The experimental - probability $P(\text{green})=\frac{\text{Frequency of green}}{\text{Total spins}}=\frac{6}{30}=\frac{1}{5}$
Step3: Predict number of green - landings in 50 spins
Multiply the probability by the number of spins. So, the predicted number of spins landing on green is $\frac{1}{5}\times50 = 10$
Answer:
10