In this lesson, we will learn how to identify binomial experiments and solve probability problems of binomial random variables.

Students will be able to

Q1:

Which of the following scenarios is a binomial experiment?

Q2:

Follow the steps to construct a binomial experiment to find the experimental probability of rolling two dice and obtaining two numbers which sum to more than 10.

One trial of the experiment would be rolling two dice and we will conduct 25 trials. How would we define success for each trial?

State the probability, 𝑝, of a success as a fraction in its simplest form.

State the probability of a failure.

Describe the random variable 𝑋 in this experiment, which is binomially distributed.

Q3:

3 cards are drawn from a standard deck, and the number of aces is counted.

If the 3 cards are drawn one after the other without replacement, is the number of aces considered a binomial random variable?

If the 3 cards are drawn one after the other with replacement, is the number of aces considered a binomial random variable?

If the 3 cards are drawn one after the other with replacement, what is the probability that we get 2 aces? Approximate to four decimal places if needed.

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