12. In the Good Grub Restaurant customers may (if they wish) order any combination of chips, peas and salad to accompany the main course. The probability that a customer chooses salad is 0.45, peas and chips 0.19, salad and peas 0.15, salad and chips 0.25, salad or peas 0.6, salad or chips 0.84, salad or chips or peas 0.9. Find the probability that a particular customer chooses: (a) Peas, (b) chips (c) all three, (d) none of these. 13. There are 135 men and women in a club, and of these 59 are men. Exactly 24 club members are bald and all of them are men. A member is chosen at random. What is the probability that this person is: (a) not bald, (b) a woman, (c) a woman, given that the member is not bald? In an extended family of 44 people, 27 had long eyelashes, 18 had asthma and 7 had both. A member of this family was selected at random. Determine the probability that this member had (a) long eyelashes and asthma; (b) long eyelashes or asthma; (c) no asthma Of the 46 overseas students enrolled in a school, 35 are enrolled in mathematics, 29 are enrolled in physics and 24 enrolled in both. (a) Use a Venn diagram to determine the number of overseas students who are not enrolled in either course. Determine the probability that an overseas students selected at random (b ) is enrolled in Physics and Mathematics. (c) ( d ) is enrolled in Physics or Mathematics. is not enrolled in Physics (e) is not enrolled in Mathematics.Fundamental Mathematics Unit 2 STUDY AREA 3: PROBABILITY At a sports club 16 people enrolled in swimming. 26 people in basketball and 17 in volleyball. Now 3 enrolled in all the three sports; 5 in swimming and basketball; 7 in basketball and volleyball and 7 in volleyball and swimming. One of these enrolled is chosen at random. Find the probability that this person enrolled in (a) swimming basketball or swimming. (c) just one sport (d swimming but not basketball 17. A group of 50 girls from a school entered for a musical competition. Twenty-eight played the piano, 25 sang and 15 neither sang nor played the piano. If a girl is chosen at random from the group, find the probability that she: (a) played the piano only. (b) played the piano and sang (C sang given that she played the piano