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A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
,b>(i) an orange flavoured candy?
(ii) a lemon flavoured candy?
Given:
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag.
To do:
We have to find the probability that she takes out
(i) an orange flavoured candy
(ii) a lemon flavoured candy
Solution:
(i) Given that the bag contains lemon flavoured candies only.
This implies,
The number of orange candies in the bag $=0$
Total number of favourable outcomes $=0$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that she takes out an orange flavoured candy $=\frac{0}{Total\ number\ of\ possible\ outcomes}$
$=0$
The probability that she takes out an orange flavoured candy is $0$.
(ii) Given that the bag contains lemon flavoured candies only.
This implies,
Every time a candy is taken out it is definitely a lemon candy.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that she takes out a lemon flavoured candy $=1$
The probability that she takes out a lemon flavoured candy is $1$.