Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are wearing a dress. What is the probability that one of the diners ordered the fish or is wearing a dress?

Question

Mathematics

Mckenna Bass

18 January, 08:05

Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are wearing a dress. What is the probability that one of the diners ordered the fish or is wearing a dress?

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Answers (1)

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Chloe Jensen · Answer 1

Probability is the chance (the likelihood) that certain event will happen.

In our case the events are:

1. one of the diners orders fish

2. one of the diners is wearing dress

The or in the question means that we should sum the probabilities of the two events in order to get the asked probability.

The probability is a numerical value between the number 0 and 1.

probability of event happening = number of ways it can happen / total number of outcomes.

1. The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners

p1=45/100=0.45

2. The probability that one of the diners is wearing dress = number of diners wearing dress / total number of diners

3. p2=14/100=0.14

The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59