In the population of males the following statistics are recorded:

• There is a 67.5% chance a randomly selected male has brown hair,
• There is a 5.1% chance a randomly selected male has red hair,
• There is 15.7% chance a randomly selected male has blue eyes,
• There is 21.9% chance a randomly selected male has hazel eyes,
• There is a 74.7% chance a randomly selected male has either brown hair or blue eyes (or both)
• There is a 3.5% chance a randomly selected male has red hair and hazel eyes

(a)What is the probability that a randomly selected male has brown hair and blue eyes?(2 marks)

0.832

0.109

0.398

0.085

0.069

(b)What is the probability that a randomly selected male has either red hair or hazel eyes (or both)?(2 marks)

0.835

0.270

0.184

0.094

0.235

(c)What is the probability that a randomly selected male has brown hair given that they have blue eyes?(2 marks)

0.409

0.541

0.321

0.297

0.792

(d)What is the probability that a randomly selected male has red hair given that they have hazel eyes?(2 marks)

0.214

0.318

0.160

0.398

0.079

(e)What is the probability that a randomly selected maledoes nothave brown hair and has blue eyes?(2 marks)

0.159

0.623

0.845

0.072

0.198

(f)What is the probability that a randomly selected male has red hair anddoes nothave hazel eyes?(2 marks)

0.209

0.016

0.005

0.198

0.924

(g)What is the probability that a randomly selected maledoes nothave hazel eyes given that theyhave red hair?(2 marks)

0.209

0.872

0.697

0.487

0.314