Question

Write the sample space from the following experiments.

a Throwing a dice and a coin

b The toss of three coins

c Extracting two letters and forming two-digit quantities from the set 2,3,5 and 7

Answer 1

(a)

A dice has 6 sides 1,2,...,6 and coin has two sides Head (H) and Tail(T)

So the possible outcomes or the sample space can be written as

where denotes occurrence of number i in dice and head in coin and denotes occurrence of number i in dice and tail in coin

(b)

Con two sides Head (H) and Tail(T)

So the possible outcomes or the sample space can be written as when we toss three coins can be written as

where H denotes head and T denotes tail.

(c) The possible outcomes when extracting two letters and forming two-digit quantities from the set 2,3,5 and 7

or sample space is