The probability of landing on brown, then pink, then brown again is 50%, or 1/2.
The provided explanation accurately breaks down the probability of landing on brown, then pink, then brown again using a fair spinner.
Let's summarize the key points:
Independence of Spins: The explanation rightly emphasizes that each spin of the spinner is independent of previous spins.
This property is crucial in probability calculations, as it ensures that the outcome of one spin does not influence the outcomes of subsequent spins.
Equal Probability for Each Color: Assuming a fair spinner, it is stated that there is a 50% chance of landing on brown and a 50% chance of landing on pink in each spin.
This assumption is essential for calculating probabilities accurately.
Probability Calculation: The calculation of the overall probability is correctly performed by multiplying the individual probabilities of each event.
In this case, the probability of landing on brown, then pink, then brown again is calculated as (1/2) x (1/2) x (1/2) = 1/8.
Final Probability: The final probability is expressed as a fraction (1/8) and as a percentage (50%), providing a clear understanding of the likelihood of the specified sequence of colors occurring.
Fair Spinner Assumption: It is appropriately mentioned that the results are contingent on the spinner being fair.
If the spinner were biased or weighted, the probabilities could differ.