Math

QuestionClassify the probability: Is picking a blue marble from 2 blue and 5 yellow marbles 25\frac{2}{5} theoretical or experimental?

Studdy Solution

STEP 1

Assumptions1. There are blue marbles and5 yellow marbles in a bag. . The chance of picking a blue marble is given as 5\frac{}{5}.

STEP 2

First, we need to calculate the theoretical probability of picking a blue marble. Theoretical probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
TheoreticalProbability=NumberoffavorableoutcomesTotalnumberofoutcomesTheoretical\, Probability = \frac{Number\, of\, favorable\, outcomes}{Total\, number\, of\, outcomes}

STEP 3

Now, plug in the given values for the number of favorable outcomes (blue marbles) and total number of outcomes (total marbles) to calculate the theoretical probability.
TheoreticalProbability=22+5Theoretical\, Probability = \frac{2}{2+5}

STEP 4

Calculate the theoretical probability.
TheoreticalProbability=27Theoretical\, Probability = \frac{2}{7}

STEP 5

Now, compare the given probability 25\frac{2}{5} with the calculated theoretical probability 27\frac{2}{7}.

STEP 6

Since the given probability 25\frac{2}{5} does not match the calculated theoretical probability 2\frac{2}{}, it means the given probability is not theoretical. Therefore, it must be experimental.
The answer is "experimental".

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