QUESTION 3
Easy
In a village fair, there are 3 popular snacks available: Samosa, Pakora, and Bhaji. For drinks, villagers can choose either Chai or Lassi.
(i) List the sample space of all possible snack and drink combinations a person could choose at the fair.
(ii) List the event 'Selecting Samosa as a snack'.
SOLUTION
1
(i) List the sample spaces of all possible snack and drink combinations a person could choose at the fair
Snack choices : \(\{Samosa, Pakora, Bhaji\}\)
Drink choices : \(\{Chai, Lassi\}\)
Each snack can be paired with either drink, so
\(S = \{(Samosa, Chai),(Samosa, Lassi),(Pakora, Chai),(Pakora, Lassi),(Bhaji, Chai),(Bhaji, Lassi)\}\)
Drink choices : \(\{Chai, Lassi\}\)
Each snack can be paired with either drink, so
\(S = \{(Samosa, Chai),(Samosa, Lassi),(Pakora, Chai),(Pakora, Lassi),(Bhaji, Chai),(Bhaji, Lassi)\}\)
2
(ii) List the event 'Selecting Samosa as a snack'
The combinations with Samosa are:
(a) Samosa and Chai
(b) Samosa and Lassi So,
\(E = \{(Samosa, Chai), (Samosa, Lassi)\}\)
(a) Samosa and Chai
(b) Samosa and Lassi So,
\(E = \{(Samosa, Chai), (Samosa, Lassi)\}\)
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Final Answer :
(i) \(S = \{(Samosa, Chai),(Samosa, Lassi),(Pakora, Chai),(Pakora, Lassi),(Bhaji, Chai),(Bhaji, Lassi)\}\)
(ii) \(E = \{(Samosa, Chai), (Samosa, Lassi)\}\)
Concept Note
A sample space is the set of all possible outcomes of an experiment.
An event is a subset of a sample space.