The random number table simulates an experiment where you...

The random number table simulates an experiment where you toss a coin 90 times. Even digits represent heads and odd digits represent tails. What is the experimental probability, to the nearest percent, of the coin coming up heads? Random Number Table $$\begin{array}{lll}{31504} & {51648} & {40613} \\ {79321} & {80927} & {42404} \\ {15594} & {84675} & {68591} \\ {34178} & {00460} & {31754} \\ {49676} & {58733} & {00884} \\ {85400} & {72294} & {22551}\end{array}$$ A. 45$\%$ B. 50$\%$ C. 54$\%$ D. 56$\%$

The random number table simulates an experiment where you toss a coin 90 times. Even digits represent heads and odd digits represent tails. What is the experimental probability, to the nearest percent, of the coin coming up heads?
Random Number Table
$$\begin{array}{lll}{31504} & {51648} & {40613} \\ {79321} & {80927} & {42404} \\ {15594} & {84675} & {68591} \\ {34178} & {00460} & {31754} \\ {49676} & {58733} & {00884} \\ {85400} & {72294} & {22551}\end{array}$$
A. 45$\%$
B. 50$\%$
C. 54$\%$
D. 56$\%$

Key Concepts

Experimental Probability

Experimental probability is determined by conducting an experiment and calculating the ratio of favorable outcomes to the total number of trials. This approach offers an empirical estimation of probability based on observed data, as opposed to theoretical probability which is calculated by assuming ideal conditions.

Coin Toss Experiment

A coin toss experiment is a fundamental probabilistic event with two possible outcomes. It is commonly used in probability theory to illustrate basic concepts because each coin toss is independent and, under fair conditions, yields an equal probability for both outcomes.

Random Number Table Simulation

A random number table is a tool used to generate sequences of values that mimic the randomness in experiments. By mapping numbers from the table to predefined outcomes, such as assigning even digits to one outcome and odd digits to another, one can simulate real-world random experiments like coin tossing.

Sample Space and Outcome Classification

Defining a sample space—the complete set of all potential outcomes—is crucial in any probability experiment. Proper classification of outcomes within the sample space based on specific criteria allows for accurate calculation of probabilities and an understanding of the variability within the experiment.

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