Concept explainers
Find the theoretical and experimental probability.
Answer to Problem 4CYU
Theoretical probability
Explanation of Solution
Given information:
Conduct a binomial experiment to determine the probability of drawing an ace or a king from a deck of cards. Then compare the experimental and theoretical probabilities of the experiment.
Calculation:
Generally, the probablity of event
Consider the probability of choosing an ace or a king a deck of well shuffled cards.
There are
The theoretical probability of choosing an ace or a king from a deck of well shuffled cards is,
Hence, the theoretical probability of choosing an ace or a king from a deck of well shuffled cards is
Examine the following attributes of a binomial experminet.
A trial os choosing a card at random from a deck of cards and the stimulation will be of
The success is choosing an ace or a king.
The probability of success is
The random variable
Use a random number generator from
The results of the experiment are as shown below as the random generator.
Since
Hence, the experimental probability of choosing an ace or a king from a deck of well shuffled cards is
When we compare both of them, it is clear that, the experimental probability is greater than the theoretical probability.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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