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In: Statistics and Probability

According to a study by Ellis and Ficek (2001) in Personality and Individual differences, vol 31,...

According to a study by Ellis and Ficek (2001) in Personality and Individual differences, vol 31, pp 1375-79, there are differences in colour preference, given gender but not sexuality. Participants included 1854 men and 3574 women. Results showed that men prefer different shades of blue, whereas women like green and blue similarly. A summary of the results are shown below.

Colour Preference

Gender

Green

Blue

Black

Other

total

Males

354

838

226

436

1854

Females

1016

909

235

1414

3574

Total

1370

1747

461

1850

5428

  

  1. What is the probability that the participant is a male AND prefers the colour black?
  2. What is the probability that a participant prefers the colour green?
  3. What is the probability that the participant is female OR prefers the colour blue?
  4. What is the probability that the participant is female, given that they prefer colours other than green, blue or black?

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