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80 people are asked if they prefer to holiday in Britain or in Greece or in France.

54 of the people were female.
12 of the 21 people who said Britain were male.
9 females said France.
43 people said Greece.
One of the males is chosen at random.

What is the probability that this male said France?

Britain Greece France Total
Female 9 36 9 54
Male 12 7 7 26
Total 21 43 16 80

1 Answer

7 votes

Final answer:

To find the probability that a randomly chosen male prefers France for a holiday, divide the number of males who prefer France (7) by the total number of males (26), which results in a probability of 7/26.

Step-by-step explanation:

The given question is a probability problem that requires us to determine the likelihood of a randomly chosen male from the group preferring France for a holiday. First, we need to identify the total number of males in the survey and the number of those who prefer France. According to the data provided, there are 26 males in total and 7 of them said they prefer France. The probability that a randomly chosen male prefers France is calculated by dividing the number of males preferring France by the total number of males.

To find the probability, use the formula:

Probability = Number of favorable outcomes / Total number of outcomes

In this case:

Probability that a male chosen at random said France = 7 (males who said France) / 26 (total males)

So the probability is 7/26.

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