2 Give sample spaces that model the outcomes for the followi

2. Give sample spaces that model the outcomes for the following experiments. Your answers should be in unambiguous mathematical notation like that used in class or in the text. (3 points each) (a) Rolling a pair of four-sided dice (b) Tossing a coin 4 times. (c) Draw 2 balls from an urn which contains 4 balls, each with a distinct label from {a, b, c, d}. (d) Draw 1 ball from the same urn, then replace it and draw a ball again.

Solution

a) (2,3,4,5,6,7,8)

b)(hhhh, hhht. hhtt, httt, tttt)

c) (ab.ac,ad,bc,bd,cd)

d)(aa,ab,ac,ad,bc,bd,cd,bb.cc.dd)