Consider the experiment of drawing 3 tickets without replacement from a box of t

Question

Consider the experiment of drawing 3 tickets without replacement from a box of tickets labeled {1, 2, 3, ... , 25}. Let A be the event that at least one of the tickets drawn is labeled with an even number, let B be the event that at least one of the tickets drawn is labeled with a prime number, let C be the event that at least one of the tickets drawn is labeled with a number larger than 14, and let D be the event that the sum of the numbers on the tickets drawn is at least 21. (a) What is the event ANB in words? The labels of the 3 tickets drawn contain (Q9 - ? A: "2" (b) What is the event AuB in words? B: an even number or a prime number, or both C: an even number or a prime number, but not both The labels of the 3 tickets drawn contain (Q1 D: an even number and a prime number, on two different tickets E: none of the above (c) Are A and B mutually exclusive? (Q11) ? (d) Are A and Bº mutually exclusive? (Q12) ? D (e) Are C and Dº mutually exclusive? (Q13) ? D A: A implies B B: B implies A C: Cimplies D D: Dimplies C (1Which of the following is/are true (select all that apply)? (Q14) E: none of the above (g) Suppose the numbers on the tickets drawn are 8, 14, and 24. Which of the following events occurred (select all that apply)? (Q15) A: A B: B C: C D: D E: AnB F: Anc G: AnD H: AnBnc I: An BnD J: An CnD K: An Bn CnD L: Bnc M: BD N: BnCnD O: CD P: none of the above

Explanation / Answer

a)the labels of three tickets drawn contain an even and a prime number

b)the labels of three tickets drawn contain an even or a prime or both

c)as AinterectionB event can occur practically thus they are not exclusive. A and B can occur together.

d)B compliment is none of the tickets drawn contains prime number.evem numbers are not prime. So they are not exclusive.

For eg if the three tickets are {6,8,10} then A occurs and B does not. So A and B compliment is not exclusive and can occur simultaneously

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