Question

Please help! Correct answer only! This assignment is due today.

Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.

If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answer 1

0.2601

Explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

252/969 ≈ 0.2601

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nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n