6. One hundred and forty people were surveyed concerning what kind of chocolate bar they liked (Mars Bars, Oh Henry, or Kit Kat).

70 people liked Oh Henry (H)

73 people liked Mars Bars (M)

65 people liked Kit Kat (K)

52 people liked both H & M

35 people liked both M & K

46 people liked both H & K

30 people liked all three

Fill in the Venn diagram on the answer sheet (1 mark) and answer the following questions (1 mark each). Presume that a person is picked at random from this sample. Report your answer as a percent rounded to 1 decimal place.

a) What is the probability a person liked Oh Henry?

b) What is the probability a person did not like Mars Bars?

c) What is the probability a person liked Kit Kat and Mars Bars?

d) Given a person who liked Mars, what is the probability that person also liked Oh Henry?

e) Given a person who liked Mars and Kit Kat both, what is the probability that person liked Oh Henry?

f) Given a person who did not like Kit Kat, what is the probability that person liked Oh Henry?