QUESTION 5
Easy
A bag has 3 candles: strawberry, lemon, and mint. One is picked at random. What is the probability of picking a strawberry candy?
SOLUTION
1
Write the sample space
The possible candles in the bag are:
\(S = \{Strawberry, Lemon, Mint\}\)
So the total number of outcomes, \(n(S) = 3\)
\(S = \{Strawberry, Lemon, Mint\}\)
So the total number of outcomes, \(n(S) = 3\)
2
Identify the favourable outcome
\(E = \{Strawberry\}\)
Number of favourable outcomes, \(n(E) = 1\)
Number of favourable outcomes, \(n(E) = 1\)
3
Find the probability
\(P(E) = \frac{Number\,of\,favourable\,outcomes}{Total\,number\,of\,outcomes} = \frac{1}{3}\)
🏆
Final Answer : P(Strawberry) = \(\frac{1}{3}\)
Concept Note
The sample space is the set of all possible outcomes of an experiment.
A favourable outcome is the outcome required for the event.
Probability is found by dividing the number of favourable outcomes by the total number of possible outcomes.