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A state lottery official randomly chooses 6 balls numbered from 1 through 40 from a box, without replacement. You purchase a lottery ticket and select

A state lottery official randomly chooses 6 balls numbered from 1 through 40 from a box, without replacement.

You purchase a lottery ticket and select 6 numbers at random.

What is the probability that you match exactly 4 numbers on your ticket to the winning numbers drawn by the official?

We can model this scenario with a binomial distribution.

We cannot model this scenario with a binomial distribution because we do not have the same probability,p, for success, andq, for failure, for each of our trials.

We cannot model this scenario with a binomial distribution because our trials are not independent.

We cannot model this scenario with a binomial distribution because we do not have a fixed number of trials.

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