Question

At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
If one of these customers has purchased a
large drink, what is the probability that it is
cold?
P( Cold | Large ) = [?]
Round to the nearest hundredth.

Answer 1

Probabilities are used to determine the chances of events

The value of P(Cold | Large ) is 0.19

How to calculate P(Cold | Large )

The table entry is given as:

      Small Medium Large

Hot     5       48        22

Cold   8       12      5

From the table, we have:

• n(Cold and Large) = 5
• n(Large) = 27

So, the probability P( Cold | Large ) is calculated as:

$P(Cold\ |\ Large ) = 5/27$

$P(Cold\ |\ Large ) = 0.19$

Hence, the value of P(Cold | Large ) is 0.19

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