Question

People were asked if they prefer Pepsi or Coke. The results are in the table below.
Pepsi Coke
Female 23 44
Male 28 39
a) If two people are chosen, what is the probability that they both prefer Pepsi?
b) If one person is chose, find the probability that they are Female or prefer Coke.

Answer 1

Using it's concept, it is found that the probabilities are given as follows:

a) 0.1431 = 14.31%.

b) 0.7910 = 79.10%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

The number of people is:

23 + 44 + 28 + 39 = 134.

The number of people that prefer Pepsi is:

23 + 28 = 51.

Hence, for the two people, the probability is:

p = 51/134 x 50/133 = 0.1431 = 14.31%.

Item b:

There are 23 + 44 = 67 females, and 39 males who prefer Coke, hence the probability is:

p = (39 + 67)/134 = 0.7910 = 79.10%.

More can be learned about probabilities at https://brainly.com/question/14398287

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