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N&N’s

Difficulty
Paper
IB Math course
AI SL
ID
35
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Status
Creating the question
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Exercise description

The acclaimed manufacturer of the N&N chocolates just launched a new product: an assorted combination of small sphere chocolates that come, in the same package, in 6 different colors. Each packet contains 200 N&N's.

By analyzing a packet, you create the following table to see the color distribution of each.

Color
Red
Orange
Yellow
Brown
Blue
Green
# of chocolates
26
50
16
16
54
38

Assuming this distribution is representative of every N&N packet out there.

b) Maybe a hypothesis test here? Chi-squared to see if the distribution is even

You pick 4 chocolates using the ones that are above (assume no replacement)

a) Show that the probability of picking four non-green is 0.427 rounded to three significant figures

c) Given that one of them is green, find the probability that you pick no more than 3 green chocolates.

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