Question

Write the sample space for these experiments
a. Throwing two dice
b. Throwing two coins
c. Throwing coin three times and writing the output
d. A die is thrown repeatedly until a six comes up
e. A coin is tossed until head comes up
f. A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is thrown twice and the total score in two throws is noted
 ​

Answer 1

a) (1,1) , (1,2), (1,3) , (1,4) , (1,5) , (1,6)

(2,1) , (2,2),......(2,6)

(3,1) , (3,2),......(3,6)

(4,1) , (4,2)......(4,6)

(5,1) , (5,2),.....(5,6)

(6,1) ,(6,2),......(6,6)

b) (HH), (HT), (TH), (TT)

c) HHH, HHT, HTH, HTT, TTT, THH, THT, TTH

d) {6,(1,6),(2,6),(3,6),(4,6),(5,6),(1,1,6),(1,2,6),.... ,(1,5,6),(2,1,6),(2,2,6),....,(2,5,6),...(5,1,6),(5,2,6),....}

e) {H, TH, TTH, TTTH, TTTTH}

f) possible outcomes are 6×6=36